diff --git a/tokio/src/runtime/time/entry.rs b/tokio/src/runtime/time/entry.rs
index f86d9ed97f0..6aea2b15cb3 100644
--- a/tokio/src/runtime/time/entry.rs
+++ b/tokio/src/runtime/time/entry.rs
@@ -527,9 +527,9 @@ impl TimerEntry {
         unsafe { self.driver().clear_entry(NonNull::from(self.inner())) };
     }
 
-    pub(crate) fn reset(mut self: Pin<&mut Self>, new_time: Instant) {
+    pub(crate) fn reset(mut self: Pin<&mut Self>, new_time: Instant, reregister: bool) {
         unsafe { self.as_mut().get_unchecked_mut() }.deadline = new_time;
-        unsafe { self.as_mut().get_unchecked_mut() }.registered = true;
+        unsafe { self.as_mut().get_unchecked_mut() }.registered = reregister;
 
         let tick = self.driver().time_source().deadline_to_tick(new_time);
 
@@ -537,9 +537,11 @@ impl TimerEntry {
             return;
         }
 
-        unsafe {
-            self.driver()
-                .reregister(&self.driver.driver().io, tick, self.inner().into());
+        if reregister {
+            unsafe {
+                self.driver()
+                    .reregister(&self.driver.driver().io, tick, self.inner().into());
+            }
         }
     }
 
@@ -553,7 +555,7 @@ impl TimerEntry {
 
         if !self.registered {
             let deadline = self.deadline;
-            self.as_mut().reset(deadline);
+            self.as_mut().reset(deadline, true);
         }
 
         let this = unsafe { self.get_unchecked_mut() };
diff --git a/tokio/src/runtime/time/tests/mod.rs b/tokio/src/runtime/time/tests/mod.rs
index 2468a1ae67b..155d99a348f 100644
--- a/tokio/src/runtime/time/tests/mod.rs
+++ b/tokio/src/runtime/time/tests/mod.rs
@@ -164,7 +164,7 @@ fn reset_future() {
                 .as_mut()
                 .poll_elapsed(&mut Context::from_waker(futures::task::noop_waker_ref()));
 
-            entry.as_mut().reset(start + Duration::from_secs(2));
+            entry.as_mut().reset(start + Duration::from_secs(2), true);
 
             // shouldn't complete before 2s
             block_on(futures::future::poll_fn(|cx| {
diff --git a/tokio/src/time/interval.rs b/tokio/src/time/interval.rs
index d933164daad..cc17c5a2627 100644
--- a/tokio/src/time/interval.rs
+++ b/tokio/src/time/interval.rs
@@ -482,7 +482,10 @@ impl Interval {
             timeout + self.period
         };
 
-        self.delay.as_mut().reset(next);
+        // When we arrive here, the internal delay returned `Poll::Ready`.
+        // Reset the delay but do not register it. It should be registered with
+        // the next call to [`poll_tick`].
+        self.delay.as_mut().reset_without_reregister(next);
 
         // Return the time when we were scheduled to tick
         Poll::Ready(timeout)
diff --git a/tokio/src/time/sleep.rs b/tokio/src/time/sleep.rs
index 370a98b9902..ccf53ef8ca2 100644
--- a/tokio/src/time/sleep.rs
+++ b/tokio/src/time/sleep.rs
@@ -353,9 +353,22 @@ impl Sleep {
         self.reset_inner(deadline)
     }
 
+    /// Resets the `Sleep` instance to a new deadline without reregistering it
+    /// to be woken up.
+    ///
+    /// Calling this function allows changing the instant at which the `Sleep`
+    /// future completes without having to create new associated state and
+    /// without having it registered. This is required in e.g. the
+    /// [crate::time::Interval] where we want to reset the internal [Sleep]
+    /// without having it wake up the last task that polled it.
+    pub(crate) fn reset_without_reregister(self: Pin<&mut Self>, deadline: Instant) {
+        let mut me = self.project();
+        me.entry.as_mut().reset(deadline, false);
+    }
+
     fn reset_inner(self: Pin<&mut Self>, deadline: Instant) {
         let mut me = self.project();
-        me.entry.as_mut().reset(deadline);
+        me.entry.as_mut().reset(deadline, true);
 
         #[cfg(all(tokio_unstable, feature = "tracing"))]
         {
diff --git a/tokio/tests/time_interval.rs b/tokio/tests/time_interval.rs
index 186582e2e52..42285364a1a 100644
--- a/tokio/tests/time_interval.rs
+++ b/tokio/tests/time_interval.rs
@@ -1,10 +1,12 @@
 #![warn(rust_2018_idioms)]
 #![cfg(feature = "full")]
 
-use tokio::time::{self, Duration, Instant, MissedTickBehavior};
-use tokio_test::{assert_pending, assert_ready_eq, task};
+use std::pin::Pin;
+use std::task::{Context, Poll};
 
-use std::task::Poll;
+use futures::{Stream, StreamExt};
+use tokio::time::{self, Duration, Instant, Interval, MissedTickBehavior};
+use tokio_test::{assert_pending, assert_ready_eq, task};
 
 // Takes the `Interval` task, `start` variable, and optional time deltas
 // For each time delta, it polls the `Interval` and asserts that the result is
@@ -209,3 +211,113 @@ fn poll_next(interval: &mut task::Spawn<time::Interval>) -> Poll<Instant> {
 fn ms(n: u64) -> Duration {
     Duration::from_millis(n)
 }
+
+/// Helper struct to test the [tokio::time::Interval::poll_tick()] method.
+///
+/// `poll_tick()` should register the waker in the context only if it returns
+/// `Poll::Pending`, not when returning `Poll::Ready`. This struct contains an
+/// interval timer and counts up on every tick when used as stream. When the
+/// counter is a multiple of four, it yields the current counter value.
+/// Depending on the value for `wake_on_pending`, it will reschedule itself when
+/// it returns `Poll::Pending` or not. When used with `wake_on_pending=false`,
+/// we expect that the stream stalls because the timer will **not** reschedule
+/// the next wake-up itself once it returned `Poll::Ready`.
+struct IntervalStreamer {
+    counter: u32,
+    timer: Interval,
+    wake_on_pending: bool,
+}
+
+impl Stream for IntervalStreamer {
+    type Item = u32;
+
+    fn poll_next(self: Pin<&mut Self>, cx: &mut Context<'_>) -> Poll<Option<Self::Item>> {
+        let this = Pin::into_inner(self);
+
+        if this.counter > 12 {
+            return Poll::Ready(None);
+        }
+
+        match this.timer.poll_tick(cx) {
+            Poll::Pending => Poll::Pending,
+            Poll::Ready(_) => {
+                this.counter += 1;
+                if this.counter % 4 == 0 {
+                    Poll::Ready(Some(this.counter))
+                } else {
+                    if this.wake_on_pending {
+                        // Schedule this task for wake-up
+                        cx.waker().wake_by_ref();
+                    }
+                    Poll::Pending
+                }
+            }
+        }
+    }
+}
+
+#[tokio::test(start_paused = true)]
+async fn stream_with_interval_poll_tick_self_waking() {
+    let stream = IntervalStreamer {
+        counter: 0,
+        timer: tokio::time::interval(tokio::time::Duration::from_millis(10)),
+        wake_on_pending: true,
+    };
+
+    let (res_tx, mut res_rx) = tokio::sync::mpsc::channel(12);
+
+    // Wrap task in timeout so that it will finish eventually even if the stream
+    // stalls.
+    tokio::spawn(tokio::time::timeout(
+        tokio::time::Duration::from_millis(150),
+        async move {
+            tokio::pin!(stream);
+
+            while let Some(item) = stream.next().await {
+                res_tx.send(item).await.ok();
+            }
+        },
+    ));
+
+    let mut items = Vec::with_capacity(3);
+    while let Some(result) = res_rx.recv().await {
+        items.push(result);
+    }
+
+    // We expect the stream to yield normally and thus three items.
+    assert_eq!(items, vec![4, 8, 12]);
+}
+
+#[tokio::test(start_paused = true)]
+async fn stream_with_interval_poll_tick_no_waking() {
+    let stream = IntervalStreamer {
+        counter: 0,
+        timer: tokio::time::interval(tokio::time::Duration::from_millis(10)),
+        wake_on_pending: false,
+    };
+
+    let (res_tx, mut res_rx) = tokio::sync::mpsc::channel(12);
+
+    // Wrap task in timeout so that it will finish eventually even if the stream
+    // stalls.
+    tokio::spawn(tokio::time::timeout(
+        tokio::time::Duration::from_millis(150),
+        async move {
+            tokio::pin!(stream);
+
+            while let Some(item) = stream.next().await {
+                res_tx.send(item).await.ok();
+            }
+        },
+    ));
+
+    let mut items = Vec::with_capacity(0);
+    while let Some(result) = res_rx.recv().await {
+        items.push(result);
+    }
+
+    // We expect the stream to stall because it does not reschedule itself on
+    // `Poll::Pending` and neither does [tokio::time::Interval] reschedule the
+    // task when returning `Poll::Ready`.
+    assert_eq!(items, vec![]);
+}