diff --git a/lib/finch.ex b/lib/finch.ex
index 4a1f1418..2f6259a3 100644
--- a/lib/finch.ex
+++ b/lib/finch.ex
@@ -197,9 +197,9 @@ defmodule Finch do
   @doc """
   Builds an HTTP request to be sent with `request/3` or `stream/4`.
 
-  When making HTTP/1.x requests, it is possible to send the request body in a streaming fashion.
-  In order to do so, the `body` parameter needs to take form of a tuple `{:stream, body_stream}`,
-  where `body_stream` is a `Stream`. This feature is not yet supported for HTTP/2 requests.
+  It is possible to send the request body in a streaming fashion. In order to do so, the
+  `body` parameter needs to take form of a tuple `{:stream, body_stream}`, where `body_stream`
+  is a `Stream`.
   """
   @spec build(Request.method(), Request.url(), Request.headers(), Request.body()) :: Request.t()
   defdelegate build(method, url, headers \\ [], body \\ nil, opts \\ []), to: Request
diff --git a/lib/finch/http2/pool.ex b/lib/finch/http2/pool.ex
index ddc24982..f13c73ce 100644
--- a/lib/finch/http2/pool.ex
+++ b/lib/finch/http2/pool.ex
@@ -9,6 +9,7 @@ defmodule Finch.HTTP2.Pool do
   alias Finch.Error
   alias Finch.Telemetry
   alias Finch.SSL
+  alias Finch.HTTP2.RequestStream
 
   require Logger
 
@@ -152,8 +153,8 @@ defmodule Finch.HTTP2.Pool do
   # requests
   def disconnected(:enter, _, data) do
     :ok =
-      Enum.each(data.requests, fn {ref, from} ->
-        send(from, {:error, ref, Error.exception(:connection_closed)})
+      Enum.each(data.requests, fn {ref, request} ->
+        send(request.from_pid, {:error, ref, Error.exception(:connection_closed)})
       end)
 
     # It's possible that we're entering this state before we are alerted of the
@@ -246,43 +247,30 @@ defmodule Finch.HTTP2.Pool do
 
   # Issue request to the upstream server. We store a ref to the request so we
   # know who to respond to when we've completed everything
-  def connected({:call, {from_pid, _} = from}, {:request, req, opts}, data) do
-    case HTTP2.request(
-           data.conn,
-           req.method,
-           Finch.Request.request_path(req),
-           req.headers,
-           req.body
-         ) do
-      {:ok, conn, ref} ->
-        data =
-          data
-          |> put_in([:conn], conn)
-          |> put_in([:requests, ref], from_pid)
-
-        # Set a timeout to close the request after a given timeout
-        actions = [
-          {:reply, from, {:ok, ref}},
-          {{:timeout, {:request_timeout, ref}}, opts[:receive_timeout], nil}
-        ]
-
-        {:keep_state, data, actions}
-
-      {:error, conn, %HTTPError{reason: :closed_for_writing}} ->
-        data = put_in(data.conn, conn)
+  def connected({:call, from}, {:request, req, opts}, data) do
+    request = RequestStream.new(req.body, from)
+
+    with {:ok, data, ref} <- request(data, req),
+         data = put_in(data.requests[ref], request),
+         {:ok, data, actions} <- continue_request(data, ref) do
+      # Set a timeout to close the request after a given timeout
+      request_timeout = {{:timeout, {:request_timeout, ref}}, opts[:receive_timeout], nil}
+
+      {:keep_state, data, actions ++ [request_timeout]}
+    else
+      {:error, data, %HTTPError{reason: :closed_for_writing}} ->
         actions = [{:reply, from, {:error, "read_only"}}]
 
-        if HTTP2.open?(conn, :read) && Enum.any?(data.requests) do
+        if HTTP2.open?(data.conn, :read) && Enum.any?(data.requests) do
           {:next_state, :connected_read_only, data, actions}
         else
           {:next_state, :disconnected, data, actions}
         end
 
-      {:error, conn, error} ->
-        data = put_in(data.conn, conn)
+      {:error, data, error} ->
         actions = [{:reply, from, {:error, error}}]
 
-        if HTTP2.open?(conn) do
+        if HTTP2.open?(data.conn) do
           {:keep_state, data, actions}
         else
           {:next_state, :disconnected, data, actions}
@@ -306,17 +294,18 @@ defmodule Finch.HTTP2.Pool do
     case HTTP2.stream(data.conn, message) do
       {:ok, conn, responses} ->
         data = put_in(data.conn, conn)
-        {data, actions} = handle_responses(data, responses)
+        {data, response_actions} = handle_responses(data, responses)
 
         cond do
-          HTTP2.open?(conn, :write) ->
-            {:keep_state, data, actions}
+          HTTP2.open?(data.conn, :write) ->
+            {data, streaming_actions} = continue_requests(data)
+            {:keep_state, data, response_actions ++ streaming_actions}
 
-          HTTP2.open?(conn, :read) && Enum.any?(data.requests) ->
-            {:next_state, :connected_read_only, data, actions}
+          HTTP2.open?(data.conn, :read) && Enum.any?(data.requests) ->
+            {:next_state, :connected_read_only, data, response_actions}
 
           true ->
-            {:next_state, :disconnected, data, actions}
+            {:next_state, :disconnected, data, response_actions}
         end
 
       {:error, conn, error, responses} ->
@@ -341,10 +330,10 @@ defmodule Finch.HTTP2.Pool do
   end
 
   def connected({:timeout, {:request_timeout, ref}}, _content, data) do
-    with {:pop, {from, data}} when not is_nil(from) <- {:pop, pop_in(data.requests[ref])},
+    with {:pop, {request, data}} when not is_nil(request) <- {:pop, pop_in(data.requests[ref])},
          {:ok, conn} <- HTTP2.cancel_request(data.conn, ref) do
       data = put_in(data.conn, conn)
-      send(from, {:error, ref, Error.exception(:request_timeout)})
+      send(request.from_pid, {:error, ref, Error.exception(:request_timeout)})
       {:keep_state, data}
     else
       {:error, conn, _error} ->
@@ -373,8 +362,20 @@ defmodule Finch.HTTP2.Pool do
   @doc false
   def connected_read_only(event, content, data)
 
-  def connected_read_only(:enter, _old_state, _data) do
-    :keep_state_and_data
+  def connected_read_only(:enter, _old_state, data) do
+    {actions, data} =
+      Enum.flat_map_reduce(data.requests, data, fn
+        # request is awaiting a response and should stay in state
+        {_ref, %{status: :done}}, data ->
+          {[], data}
+
+        # request is still sending data and should be discarded
+        {ref, %{status: :streaming} = request}, data ->
+          {^request, data} = pop_in(data.requests[ref])
+          {[{:reply, request.from, {:error, Error.exception(:read_only)}}], data}
+      end)
+
+    {:keep_state, data, actions}
   end
 
   # If we're in a read only state than respond with an error immediately
@@ -432,11 +433,11 @@ defmodule Finch.HTTP2.Pool do
     # We might get a request timeout that fired in the moment when we received the
     # whole request, so we don't have the request in the state but we get the
     # timer event anyways. In those cases, we don't do anything.
-    {from, data} = pop_in(data.requests[ref])
+    {request, data} = pop_in(data.requests[ref])
 
     # Its possible that the request doesn't exist so we guard against that here.
-    if from != nil do
-      send(from, {:error, ref, Error.exception(:request_timeout)})
+    if request != nil do
+      send(request.from_pid, {:error, ref, Error.exception(:request_timeout)})
     end
 
     # If we're out of requests then we should enter the disconnected state.
@@ -456,22 +457,22 @@ defmodule Finch.HTTP2.Pool do
 
   defp handle_response(data, {kind, ref, _value} = response, actions)
        when kind in [:status, :headers, :data] do
-    if from = data.requests[ref] do
-      send(from, response)
+    if request = data.requests[ref] do
+      send(request.from_pid, response)
     end
 
     {data, actions}
   end
 
   defp handle_response(data, {:done, ref} = response, actions) do
-    {pid, data} = pop_in(data.requests[ref])
-    if pid, do: send(pid, response)
+    {request, data} = pop_in(data.requests[ref])
+    if request, do: send(request.from_pid, response)
     {data, [cancel_request_timeout_action(ref) | actions]}
   end
 
   defp handle_response(data, {:error, ref, _error} = response, actions) do
-    {pid, data} = pop_in(data.requests[ref])
-    if pid, do: send(pid, response)
+    {request, data} = pop_in(data.requests[ref])
+    if request, do: send(request.from_pid, response)
     {data, [cancel_request_timeout_action(ref) | actions]}
   end
 
@@ -498,4 +499,82 @@ defmodule Finch.HTTP2.Pool do
     max_sleep = trunc(min(max_backoff, base_backoff * factor))
     :rand.uniform(max_sleep)
   end
+
+  # a wrapper around Mint.HTTP2.request/5
+  # wrapping allows us to more easily encapsulate the conn within `data`
+  defp request(data, req) do
+    body = if req.body == nil, do: nil, else: :stream
+
+    case HTTP2.request(data.conn, req.method, Finch.Request.request_path(req), req.headers, body) do
+      {:ok, conn, ref} -> {:ok, put_in(data.conn, conn), ref}
+      {:error, conn, reason} -> {:error, put_in(data.conn, conn), reason}
+    end
+  end
+
+  # this is also a wrapper (Mint.HTTP2.stream_request_body/3)
+  defp stream_request_body(data, ref, body) do
+    case HTTP2.stream_request_body(data.conn, ref, body) do
+      {:ok, conn} -> {:ok, put_in(data.conn, conn)}
+      {:error, conn, reason} -> {:error, put_in(data.conn, conn), reason}
+    end
+  end
+
+  defp stream_chunks(data, ref, body) do
+    with {:ok, data} <- stream_request_body(data, ref, body) do
+      if data.requests[ref].status == :done do
+        stream_request_body(data, ref, :eof)
+      else
+        {:ok, data}
+      end
+    end
+  end
+
+  defp continue_requests(data) do
+    Enum.reduce(data.requests, {data, []}, fn {ref, request}, {data, actions} ->
+      with true <- request.status == :streaming,
+           true <- HTTP2.open?(data.conn, :write),
+           {:ok, data, new_actions} <- continue_request(data, ref) do
+        {data, new_actions ++ actions}
+      else
+        false ->
+          {data, actions}
+
+        {:error, data, %HTTPError{reason: :closed_for_writing}} ->
+          {data, [{:reply, request.from, {:error, "read_only"}} | actions]}
+
+        {:error, data, reason} ->
+          {data, [{:reply, request.from, {:error, reason}} | actions]}
+      end
+    end)
+  end
+
+  defp continue_request(data, ref) do
+    request = data.requests[ref]
+    reply_action = {:reply, request.from, {:ok, ref}}
+
+    with :streaming <- request.status,
+         window = smallest_window(data.conn, ref),
+         {request, chunks} = RequestStream.next_chunk(request, window),
+         data = put_in(data.requests[ref], request),
+         {:ok, data} <- stream_chunks(data, ref, chunks) do
+      actions = if request.status == :done, do: [reply_action], else: []
+
+      {:ok, data, actions}
+    else
+      :done ->
+        {:ok, data, [reply_action]}
+
+      {:error, data, reason} ->
+        {_from, data} = pop_in(data.requests[ref])
+
+        {:error, data, reason}
+    end
+  end
+
+  defp smallest_window(conn, ref) do
+    min(
+      HTTP2.get_window_size(conn, :connection),
+      HTTP2.get_window_size(conn, {:request, ref})
+    )
+  end
 end
diff --git a/lib/finch/http2/request_stream.ex b/lib/finch/http2/request_stream.ex
new file mode 100644
index 00000000..91a179ab
--- /dev/null
+++ b/lib/finch/http2/request_stream.ex
@@ -0,0 +1,91 @@
+defmodule Finch.HTTP2.RequestStream do
+  @moduledoc false
+
+  defstruct [:body, :from, :from_pid, :status, :buffer, :continuation]
+
+  def new(body, {from_pid, _from_ref} = from) do
+    enumerable =
+      case body do
+        {:stream, stream} -> stream
+        data -> List.wrap(data)
+      end
+
+    enumerable =
+      Stream.map(enumerable, fn
+        binary when is_binary(binary) ->
+          {binary, byte_size(binary)}
+
+        io_data ->
+          binary = IO.iodata_to_binary(io_data)
+          {binary, byte_size(binary)}
+      end)
+
+    reducer = &reduce_with_suspend/2
+
+    %__MODULE__{
+      body: body,
+      from: from,
+      from_pid: from_pid,
+      status: if(body == nil, do: :done, else: :streaming),
+      buffer: <<>>,
+      continuation: &Enumerable.reduce(enumerable, &1, reducer)
+    }
+  end
+
+  defp reduce_with_suspend(
+         {message, message_size},
+         {message_buffer, message_buffer_size, window}
+       )
+       when message_size + message_buffer_size > window do
+    {:suspend,
+     {[{message, message_size} | message_buffer], message_size + message_buffer_size, window}}
+  end
+
+  defp reduce_with_suspend(
+         {message, message_size},
+         {message_buffer, message_buffer_size, window}
+       ) do
+    {:cont, {[message | message_buffer], message_size + message_buffer_size, window}}
+  end
+
+  # gets the next chunk of data that will fit into the given window size
+  def next_chunk(request, window)
+
+  # when the buffer is empty, continue reducing the stream
+  def next_chunk(%__MODULE__{buffer: <<>>} = request, window) do
+    continue_reduce(request, {[], 0, window})
+  end
+
+  def next_chunk(%__MODULE__{buffer: buffer} = request, window) do
+    case buffer do
+      <<bytes_to_send::binary-size(window), rest::binary>> ->
+        # when the buffer contains more bytes than a window, send as much of the
+        # buffer as we can
+        {put_in(request.buffer, rest), bytes_to_send}
+
+      _ ->
+        # when the buffer can fit in the windows, continue reducing using the buffer
+        # as the accumulator
+        continue_reduce(request, {[buffer], byte_size(buffer), window})
+    end
+  end
+
+  defp continue_reduce(request, acc) do
+    case request.continuation.({:cont, acc}) do
+      {finished, {messages, _size, _window}} when finished in [:done, :halted] ->
+        {put_in(request.status, :done), Enum.reverse(messages)}
+
+      {:suspended,
+       {[{overload_message, overload_message_size} | messages_that_fit], total_size, window_size},
+       next_continuation} ->
+        fittable_size = window_size - (total_size - overload_message_size)
+
+        <<fittable_binary::binary-size(fittable_size), overload_binary::binary>> =
+          overload_message
+
+        request = %{request | continuation: next_continuation, buffer: overload_binary}
+
+        {request, Enum.reverse([fittable_binary | messages_that_fit])}
+    end
+  end
+end
diff --git a/test/finch_test.exs b/test/finch_test.exs
index ad267bfa..1f839540 100644
--- a/test/finch_test.exs
+++ b/test/finch_test.exs
@@ -216,7 +216,7 @@ defmodule FinchTest do
                end)
     end
 
-    test "successful post streaming request, with streaming body and query string", %{
+    test "successful post HTTP/1 streaming request, with streaming body and query string", %{
       bypass: bypass
     } do
       start_supervised!({Finch, name: finch_name()})
@@ -253,6 +253,111 @@ defmodule FinchTest do
                end)
     end
 
+    test "successful post HTTP/2 streaming request, with streaming body and query string", %{
+      bypass: bypass
+    } do
+      start_supervised!(
+        {Finch,
+         name: finch_name(),
+         pools: %{
+           default: [
+             protocol: :http2,
+             count: 1,
+             conn_opts: [
+               transport_opts: [
+                 verify: :verify_none
+               ]
+             ]
+           ]
+         }}
+      )
+
+      data = :crypto.strong_rand_bytes(1_000)
+      # 1MB of data
+      req_stream = Stream.repeatedly(fn -> data end) |> Stream.take(1_000)
+      req_body = req_stream |> Enum.join("")
+      response_body = data
+      header_key = "content-type"
+      header_val = "application/octet-stream"
+      query_string = "query=value"
+
+      Bypass.expect_once(bypass, "POST", "/", fn conn ->
+        assert conn.query_string == query_string
+        assert {:ok, ^req_body, conn} = Plug.Conn.read_body(conn)
+
+        conn
+        |> Plug.Conn.put_resp_header(header_key, header_val)
+        |> Plug.Conn.send_resp(200, response_body)
+      end)
+
+      assert {:ok, %Response{status: 200, headers: headers, body: ^response_body}} =
+               Finch.build(
+                 :post,
+                 endpoint(bypass, "?" <> query_string),
+                 [{header_key, header_val}],
+                 {:stream, req_stream}
+               )
+               |> Finch.request(finch_name())
+
+      assert {_, ^header_val} =
+               Enum.find(headers, fn
+                 {^header_key, _} -> true
+                 _ -> false
+               end)
+    end
+
+    test "successful post HTTP/2 with a large binary body", %{
+      bypass: bypass
+    } do
+      start_supervised!(
+        {Finch,
+         name: finch_name(),
+         pools: %{
+           default: [
+             protocol: :http2,
+             count: 1,
+             conn_opts: [
+               transport_opts: [
+                 verify: :verify_none
+               ]
+             ]
+           ]
+         }}
+      )
+
+      data = :crypto.strong_rand_bytes(1_000)
+      # 2MB of data
+      req_body = :binary.copy(data, 2_000)
+      response_body = data
+      header_key = "content-type"
+      header_val = "application/octet-stream"
+      query_string = "query=value"
+
+      Bypass.expect_once(bypass, "POST", "/", fn conn ->
+        assert conn.query_string == query_string
+        assert {:ok, ^req_body, conn} = Plug.Conn.read_body(conn)
+
+        conn
+        |> Plug.Conn.put_resp_header(header_key, header_val)
+        |> Plug.Conn.send_resp(200, response_body)
+      end)
+
+      assert {:ok, %Response{status: 200, headers: headers, body: ^response_body}} =
+               Finch.build(
+                 :post,
+                 endpoint(bypass, "?" <> query_string),
+                 [{header_key, header_val}],
+                 req_body
+               )
+               |> Finch.request(finch_name())
+
+      assert {_, ^header_val} =
+               Enum.find(headers, fn
+                 {^header_key, _} -> true
+                 _ -> false
+               end)
+    end
+
     test "successful get request, with query string, when given a %URI{}", %{bypass: bypass} do
       start_supervised!({Finch, name: finch_name()})
       query_string = "query=value"