diff --git a/src/anyio/_backends/_asyncio.py b/src/anyio/_backends/_asyncio.py
index 9ec81af7..ce96df85 100644
--- a/src/anyio/_backends/_asyncio.py
+++ b/src/anyio/_backends/_asyncio.py
@@ -757,6 +757,10 @@ async def send(self, item: bytes) -> None:
         self._stream.write(item)
         await self._stream.drain()
 
+    def send_nowait(self, item: bytes) -> int:
+        self._stream.write(item)
+        return len(item)
+
     async def aclose(self) -> None:
         self._stream.close()
 
diff --git a/src/anyio/_backends/_trio.py b/src/anyio/_backends/_trio.py
index 228db1d3..c422afa4 100644
--- a/src/anyio/_backends/_trio.py
+++ b/src/anyio/_backends/_trio.py
@@ -397,6 +397,10 @@ async def send(self, item: bytes) -> None:
 
                 view = view[bytes_sent:]
 
+    def send_nowait(self, item: bytes) -> int:
+        with self._send_guard:
+            return self._raw_socket.send(item)
+
     async def send_eof(self) -> None:
         self._trio_socket.shutdown(socket.SHUT_WR)
 
diff --git a/src/anyio/abc/_streams.py b/src/anyio/abc/_streams.py
index e7de1562..77f2e1f1 100644
--- a/src/anyio/abc/_streams.py
+++ b/src/anyio/abc/_streams.py
@@ -85,6 +85,20 @@ async def send(self, item: T_contra) -> None:
             due to external causes
         """
 
+    def send_nowait(self, item: T_contra) -> None:
+        """
+        Send an item immediately if it can be done without waiting.
+
+        :param item: the item to send
+        :raises ~anyio.WouldBlock: if ``item`` cannot be sent without blocking
+        :raises ~anyio.ClosedResourceError: if the send stream has been explicitly
+            closed
+        :raises ~anyio.BrokenResourceError: if this stream has been rendered unusable
+            due to external causes
+
+        """
+        raise WouldBlock
+
 
 class UnreliableObjectStream(
     UnreliableObjectReceiveStream[T_Item], UnreliableObjectSendStream[T_Item]
@@ -158,6 +172,7 @@ def receive_nowait(self, max_bytes: int = 65536) -> bytes:
         :return: the received bytes
         :raises ~anyio.EndOfStream: if this stream has been closed from the other end
         :raises ~anyio.WouldBlock: if there is no data waiting to be received
+
         """
         raise WouldBlock
 
@@ -178,6 +193,16 @@ async def receive(self, max_bytes: int = 65536) -> bytes:
 class ByteSendStream(AsyncResource, TypedAttributeProvider):
     """An interface for sending bytes to a single peer."""
 
+    def send_nowait(self, item: bytes) -> int:
+        """
+        Send as many of the given bytes as possible to the peer without blocking.
+
+        :param item: the bytes to send
+        :return: the number of bytes actually sent
+
+        """
+        return 0
+
     @abstractmethod
     async def send(self, item: bytes) -> None:
         """
diff --git a/src/anyio/streams/memory.py b/src/anyio/streams/memory.py
index 81b8567a..48eff710 100644
--- a/src/anyio/streams/memory.py
+++ b/src/anyio/streams/memory.py
@@ -169,17 +169,6 @@ def __post_init__(self) -> None:
         self._state.open_send_channels += 1
 
     def send_nowait(self, item: T_contra) -> None:
-        """
-        Send an item immediately if it can be done without waiting.
-
-        :param item: the item to send
-        :raises ~anyio.ClosedResourceError: if this send stream has been closed
-        :raises ~anyio.BrokenResourceError: if the stream has been closed from the
-            receiving end
-        :raises ~anyio.WouldBlock: if the buffer is full and there are no tasks waiting
-            to receive
-
-        """
         if self._closed:
             raise ClosedResourceError
         if not self._state.open_receive_channels:
diff --git a/src/anyio/streams/stapled.py b/src/anyio/streams/stapled.py
index e49f24a2..170950ae 100644
--- a/src/anyio/streams/stapled.py
+++ b/src/anyio/streams/stapled.py
@@ -40,6 +40,9 @@ def receive_nowait(self, max_bytes: int = 65536) -> bytes:
     async def receive(self, max_bytes: int = 65536) -> bytes:
         return await self.receive_stream.receive(max_bytes)
 
+    def send_nowait(self, item: bytes) -> int:
+        return self.send_stream.send_nowait(item)
+
     async def send(self, item: bytes) -> None:
         await self.send_stream.send(item)
 
diff --git a/src/anyio/streams/tls.py b/src/anyio/streams/tls.py
index 4f07779e..debb1943 100644
--- a/src/anyio/streams/tls.py
+++ b/src/anyio/streams/tls.py
@@ -207,7 +207,7 @@ def receive_nowait(self, max_bytes: int = 65536) -> bytes:
                     raise WouldBlock from None
                 except EndOfStream:
                     self._read_bio.write_eof()
-                except OSError as exc:
+                except BrokenResourceError as exc:
                     self._read_bio.write_eof()
                     self._write_bio.write_eof()
                     raise BrokenResourceError from exc
@@ -234,6 +234,11 @@ def receive_nowait(self, max_bytes: int = 65536) -> bytes:
 
         return data
 
+    # def send_nowait(self, item: bytes) -> int:
+    #     while True:
+    #         self._ssl_object.write(item)
+    #         self.transport_stream.send_nowait()
+
     async def receive(self, max_bytes: int = 65536) -> bytes:
         data = await self._call_sslobject_method(self._ssl_object.read, max_bytes)
         if not data: