diff --git a/library/std/src/sys/unix/futex.rs b/library/std/src/sys/unix/futex.rs
index 8d5ad18997d07..8d05cb44b9479 100644
--- a/library/std/src/sys/unix/futex.rs
+++ b/library/std/src/sys/unix/futex.rs
@@ -25,7 +25,7 @@ pub fn futex_wait(futex: &AtomicU32, expected: u32, timeout: Option<Duration>) -
     //
     // Overflows are rounded up to an infinite timeout (None).
     let timespec = timeout
-        .and_then(|d| Some(Timespec::now(libc::CLOCK_MONOTONIC).checked_add_duration(&d)?))
+        .and_then(|d| Timespec::now(libc::CLOCK_MONOTONIC).checked_add_duration(&d))
         .and_then(|t| t.to_timespec());
 
     loop {
@@ -136,15 +136,13 @@ pub fn futex_wake_all(futex: &AtomicU32) {
 
 #[cfg(target_os = "openbsd")]
 pub fn futex_wait(futex: &AtomicU32, expected: u32, timeout: Option<Duration>) -> bool {
+    use super::time::Timespec;
     use crate::ptr::{null, null_mut};
-    let timespec = timeout.and_then(|d| {
-        Some(libc::timespec {
-            // Sleep forever if the timeout is longer than fits in a timespec.
-            tv_sec: d.as_secs().try_into().ok()?,
-            // This conversion never truncates, as subsec_nanos is always <1e9.
-            tv_nsec: d.subsec_nanos() as _,
-        })
-    });
+
+    // Overflows are rounded up to an infinite timeout (None).
+    let timespec = timeout
+        .and_then(|d| Timespec::zero().checked_add_duration(&d))
+        .and_then(|t| t.to_timespec());
 
     let r = unsafe {
         libc::futex(
diff --git a/library/std/src/sys/unix/time.rs b/library/std/src/sys/unix/time.rs
index 333182bdad4de..f99c453a3a85b 100644
--- a/library/std/src/sys/unix/time.rs
+++ b/library/std/src/sys/unix/time.rs
@@ -51,7 +51,7 @@ impl fmt::Debug for SystemTime {
 }
 
 impl Timespec {
-    const fn zero() -> Timespec {
+    pub const fn zero() -> Timespec {
         Timespec { tv_sec: 0, tv_nsec: 0 }
     }
 
@@ -125,6 +125,7 @@ impl Timespec {
         Some(Timespec::new(secs, nsec as i64))
     }
 
+    #[allow(dead_code)]
     pub fn to_timespec(&self) -> Option<libc::timespec> {
         Some(libc::timespec {
             tv_sec: self.tv_sec.try_into().ok()?,