diff --git a/library/core/src/ptr/const_ptr.rs b/library/core/src/ptr/const_ptr.rs
index e460a7f3b1e3e..2c371f635ab97 100644
--- a/library/core/src/ptr/const_ptr.rs
+++ b/library/core/src/ptr/const_ptr.rs
@@ -119,7 +119,11 @@ impl<T: ?Sized> *const T {
     /// assert_eq!(p1.to_bits() - p0.to_bits(), 4);
     /// ```
     #[unstable(feature = "ptr_to_from_bits", issue = "91126")]
-    #[rustc_deprecated(since = "1.62", reason = "replaced by the `addr` method")]
+    #[rustc_deprecated(
+        since = "1.62",
+        reason = "replaced by the `exposed_addr` method, or update your code \
+            to follow the strict provenance rules using its APIs"
+    )]
     pub fn to_bits(self) -> usize
     where
         T: Sized,
@@ -143,7 +147,8 @@ impl<T: ?Sized> *const T {
     #[unstable(feature = "ptr_to_from_bits", issue = "91126")]
     #[rustc_deprecated(
         since = "1.62",
-        reason = "replaced by the `with_addr` method or the `ptr::invalid` function"
+        reason = "replaced by the `ptr::from_exposed_addr` function, or update \
+            your code to follow the strict provenance rules using its APIs"
     )]
     #[allow(fuzzy_provenance_casts)] // this is an unstable and semi-deprecated cast function
     pub fn from_bits(bits: usize) -> Self
diff --git a/library/core/src/ptr/mut_ptr.rs b/library/core/src/ptr/mut_ptr.rs
index 351012e6ffc8f..7968253156237 100644
--- a/library/core/src/ptr/mut_ptr.rs
+++ b/library/core/src/ptr/mut_ptr.rs
@@ -125,7 +125,11 @@ impl<T: ?Sized> *mut T {
     /// assert_eq!(p1.to_bits() - p0.to_bits(), 4);
     /// ```
     #[unstable(feature = "ptr_to_from_bits", issue = "91126")]
-    #[rustc_deprecated(since = "1.62", reason = "replaced by the `addr` method")]
+    #[rustc_deprecated(
+        since = "1.62",
+        reason = "replaced by the `exposed_addr` method, or update your code \
+            to follow the strict provenance rules using its APIs"
+    )]
     pub fn to_bits(self) -> usize
     where
         T: Sized,
@@ -149,7 +153,8 @@ impl<T: ?Sized> *mut T {
     #[unstable(feature = "ptr_to_from_bits", issue = "91126")]
     #[rustc_deprecated(
         since = "1.62",
-        reason = "replaced by the `with_addr` method or the `ptr::invalid_mut` function"
+        reason = "replaced by the `ptr::from_exposed_addr_mut` function, or \
+            update your code to follow the strict provenance rules using its APIs"
     )]
     #[allow(fuzzy_provenance_casts)] // this is an unstable and semi-deprecated cast function
     pub fn from_bits(bits: usize) -> Self