diff --git a/library/core/src/slice/mod.rs b/library/core/src/slice/mod.rs
index 56133f346ae..e874b576368 100644
--- a/library/core/src/slice/mod.rs
+++ b/library/core/src/slice/mod.rs
@@ -3724,9 +3724,9 @@ impl<T> [T] {
     /// [`is_sorted`]: slice::is_sorted
     #[unstable(feature = "is_sorted", reason = "new API", issue = "53485")]
     #[must_use]
-    pub fn is_sorted_by<F>(&self, mut compare: F) -> bool
+    pub fn is_sorted_by<'a, F>(&'a self, mut compare: F) -> bool
     where
-        F: FnMut(&T, &T) -> Option<Ordering>,
+        F: FnMut(&'a T, &'a T) -> Option<Ordering>,
     {
         self.iter().is_sorted_by(|a, b| compare(*a, *b))
     }
@@ -3750,9 +3750,9 @@ impl<T> [T] {
     #[inline]
     #[unstable(feature = "is_sorted", reason = "new API", issue = "53485")]
     #[must_use]
-    pub fn is_sorted_by_key<F, K>(&self, f: F) -> bool
+    pub fn is_sorted_by_key<'a, F, K>(&'a self, f: F) -> bool
     where
-        F: FnMut(&T) -> K,
+        F: FnMut(&'a T) -> K,
         K: PartialOrd,
     {
         self.iter().is_sorted_by_key(f)