diff --git a/library/alloc/src/rc.rs b/library/alloc/src/rc.rs
index 3065169e5e2cb..ea651c075d968 100644
--- a/library/alloc/src/rc.rs
+++ b/library/alloc/src/rc.rs
@@ -2112,9 +2112,10 @@ impl<T> Weak<T> {
     /// assert!(empty.upgrade().is_none());
     /// ```
     #[stable(feature = "downgraded_weak", since = "1.10.0")]
+    #[rustc_const_unstable(feature = "const_weak_new", issue = "95091", reason = "recently added")]
     #[must_use]
-    pub fn new() -> Weak<T> {
-        Weak { ptr: NonNull::new(usize::MAX as *mut RcBox<T>).expect("MAX is not 0") }
+    pub const fn new() -> Weak<T> {
+        Weak { ptr: unsafe { NonNull::new_unchecked(usize::MAX as *mut RcBox<T>) } }
     }
 }
 
diff --git a/library/alloc/src/sync.rs b/library/alloc/src/sync.rs
index 2140c3f168d1c..ba3187294e654 100644
--- a/library/alloc/src/sync.rs
+++ b/library/alloc/src/sync.rs
@@ -1742,9 +1742,10 @@ impl<T> Weak<T> {
     /// assert!(empty.upgrade().is_none());
     /// ```
     #[stable(feature = "downgraded_weak", since = "1.10.0")]
+    #[rustc_const_unstable(feature = "const_weak_new", issue = "95091", reason = "recently added")]
     #[must_use]
-    pub fn new() -> Weak<T> {
-        Weak { ptr: NonNull::new(usize::MAX as *mut ArcInner<T>).expect("MAX is not 0") }
+    pub const fn new() -> Weak<T> {
+        Weak { ptr: unsafe { NonNull::new_unchecked(usize::MAX as *mut ArcInner<T>) } }
     }
 }