diff --git a/tokio/src/time/instant.rs b/tokio/src/time/instant.rs
index faf62ee59e3..d3f46ab39b8 100644
--- a/tokio/src/time/instant.rs
+++ b/tokio/src/time/instant.rs
@@ -54,14 +54,6 @@ impl Instant {
         Instant { std }
     }
 
-    pub(crate) fn far_future() -> Instant {
-        // Roughly 30 years from now.
-        // API does not provide a way to obtain max `Instant`
-        // or convert specific date in the future to instant.
-        // 1000 years overflows on macOS, 100 years overflows on FreeBSD.
-        Self::now() + Duration::from_secs(86400 * 365 * 30)
-    }
-
     /// Convert the value into a `std::time::Instant`.
     pub fn into_std(self) -> std::time::Instant {
         self.std
diff --git a/tokio/src/time/interval.rs b/tokio/src/time/interval.rs
index 02cecc6ec1a..d1515d12cb5 100644
--- a/tokio/src/time/interval.rs
+++ b/tokio/src/time/interval.rs
@@ -1,4 +1,4 @@
-use crate::time::{sleep_until, Duration, Instant, Sleep};
+use crate::time::{safe_delay, sleep_until, Duration, Instant, Sleep};
 use crate::util::trace;
 
 use std::future::{poll_fn, Future};
@@ -139,7 +139,7 @@ fn internal_interval_at(
 
     Interval {
         delay,
-        period,
+        period: safe_delay(period),
         missed_tick_behavior: MissedTickBehavior::default(),
         #[cfg(all(tokio_unstable, feature = "tracing"))]
         resource_span,
@@ -479,9 +479,7 @@ impl Interval {
             self.missed_tick_behavior
                 .next_timeout(timeout, now, self.period)
         } else {
-            timeout
-                .checked_add(self.period)
-                .unwrap_or_else(Instant::far_future)
+            timeout + self.period
         };
 
         // When we arrive here, the internal delay returned `Poll::Ready`.
diff --git a/tokio/src/time/mod.rs b/tokio/src/time/mod.rs
index 8627a7838aa..67f805a941d 100644
--- a/tokio/src/time/mod.rs
+++ b/tokio/src/time/mod.rs
@@ -84,6 +84,12 @@
 //! [`interval`]: crate::time::interval()
 //! [`sleep`]: sleep()
 
+fn safe_delay(duration: Duration) -> Duration {
+    // Roughly 30 years from now.
+    // 1000 years overflows on macOS, 100 years overflows on FreeBSD.
+    duration.min(Duration::from_secs(86400 * 365 * 30))
+}
+
 mod clock;
 pub(crate) use self::clock::Clock;
 cfg_test_util! {
diff --git a/tokio/src/time/sleep.rs b/tokio/src/time/sleep.rs
index b2dcf5c59f0..42c4fa6688f 100644
--- a/tokio/src/time/sleep.rs
+++ b/tokio/src/time/sleep.rs
@@ -1,5 +1,5 @@
 use crate::runtime::Timer;
-use crate::time::{error::Error, Duration, Instant};
+use crate::time::{error::Error, safe_delay, Duration, Instant};
 use crate::util::trace;
 
 use pin_project_lite::pin_project;
@@ -121,12 +121,8 @@ pub fn sleep_until(deadline: Instant) -> Sleep {
 #[cfg_attr(docsrs, doc(alias = "wait"))]
 #[track_caller]
 pub fn sleep(duration: Duration) -> Sleep {
-    let location = trace::caller_location();
-
-    match Instant::now().checked_add(duration) {
-        Some(deadline) => Sleep::new_timeout(deadline, location),
-        None => Sleep::new_timeout(Instant::far_future(), location),
-    }
+    let deadline = Instant::now() + safe_delay(duration);
+    Sleep::new_timeout(deadline, trace::caller_location())
 }
 
 pin_project! {
@@ -303,10 +299,6 @@ impl Sleep {
         Sleep { inner, entry }
     }
 
-    pub(crate) fn far_future(location: Option<&'static Location<'static>>) -> Sleep {
-        Self::new_timeout(Instant::far_future(), location)
-    }
-
     /// Returns the instant at which the future will complete.
     pub fn deadline(&self) -> Instant {
         self.entry.deadline()
diff --git a/tokio/src/time/timeout.rs b/tokio/src/time/timeout.rs
index fc2065c11f0..d8fb5f833da 100644
--- a/tokio/src/time/timeout.rs
+++ b/tokio/src/time/timeout.rs
@@ -6,7 +6,7 @@
 
 use crate::{
     task::coop,
-    time::{error::Elapsed, sleep_until, Duration, Instant, Sleep},
+    time::{error::Elapsed, safe_delay, Duration, Instant, Sleep},
     util::trace,
 };
 
@@ -87,13 +87,8 @@ pub fn timeout<F>(duration: Duration, future: F) -> Timeout<F::IntoFuture>
 where
     F: IntoFuture,
 {
-    let location = trace::caller_location();
-
-    let deadline = Instant::now().checked_add(duration);
-    let delay = match deadline {
-        Some(deadline) => Sleep::new_timeout(deadline, location),
-        None => Sleep::far_future(location),
-    };
+    let deadline = Instant::now() + safe_delay(duration);
+    let delay = Sleep::new_timeout(deadline, trace::caller_location());
     Timeout::new_with_delay(future.into_future(), delay)
 }
 
@@ -165,7 +160,7 @@ pub fn timeout_at<F>(deadline: Instant, future: F) -> Timeout<F::IntoFuture>
 where
     F: IntoFuture,
 {
-    let delay = sleep_until(deadline);
+    let delay = Sleep::new_timeout(deadline, trace::caller_location());
     Timeout::new_with_delay(future.into_future(), delay)
 }