diff --git a/library/core/src/option.rs b/library/core/src/option.rs
index fa09409b6daab..7737a139cc959 100644
--- a/library/core/src/option.rs
+++ b/library/core/src/option.rs
@@ -1379,11 +1379,12 @@ impl<T> Option<T> {
     /// ```
     #[inline]
     #[stable(feature = "option_deref", since = "1.40.0")]
-    pub fn as_deref(&self) -> Option<&T::Target>
+    #[rustc_const_unstable(feature = "const_deref", issue = "88955")]
+    pub const fn as_deref(&self) -> Option<&T::Target>
     where
-        T: Deref,
+        T: [const] Deref,
     {
-        self.as_ref().map(|t| t.deref())
+        self.as_ref().map(Deref::deref)
     }
 
     /// Converts from `Option<T>` (or `&mut Option<T>`) to `Option<&mut T::Target>`.
@@ -1402,11 +1403,12 @@ impl<T> Option<T> {
     /// ```
     #[inline]
     #[stable(feature = "option_deref", since = "1.40.0")]
-    pub fn as_deref_mut(&mut self) -> Option<&mut T::Target>
+    #[rustc_const_unstable(feature = "const_deref", issue = "88955")]
+    pub const fn as_deref_mut(&mut self) -> Option<&mut T::Target>
     where
-        T: DerefMut,
+        T: [const] DerefMut,
     {
-        self.as_mut().map(|t| t.deref_mut())
+        self.as_mut().map(DerefMut::deref_mut)
     }
 
     /////////////////////////////////////////////////////////////////////////
diff --git a/library/core/src/result.rs b/library/core/src/result.rs
index 6148bdb866ad0..3dca33be64f0b 100644
--- a/library/core/src/result.rs
+++ b/library/core/src/result.rs
@@ -1034,11 +1034,12 @@ impl<T, E> Result<T, E> {
     /// ```
     #[inline]
     #[stable(feature = "inner_deref", since = "1.47.0")]
-    pub fn as_deref(&self) -> Result<&T::Target, &E>
+    #[rustc_const_unstable(feature = "const_deref", issue = "88955")]
+    pub const fn as_deref(&self) -> Result<&T::Target, &E>
     where
-        T: Deref,
+        T: [const] Deref,
     {
-        self.as_ref().map(|t| t.deref())
+        self.as_ref().map(Deref::deref)
     }
 
     /// Converts from `Result<T, E>` (or `&mut Result<T, E>`) to `Result<&mut <T as DerefMut>::Target, &mut E>`.
@@ -1061,11 +1062,12 @@ impl<T, E> Result<T, E> {
     /// ```
     #[inline]
     #[stable(feature = "inner_deref", since = "1.47.0")]
-    pub fn as_deref_mut(&mut self) -> Result<&mut T::Target, &mut E>
+    #[rustc_const_unstable(feature = "const_deref", issue = "88955")]
+    pub const fn as_deref_mut(&mut self) -> Result<&mut T::Target, &mut E>
     where
-        T: DerefMut,
+        T: [const] DerefMut,
     {
-        self.as_mut().map(|t| t.deref_mut())
+        self.as_mut().map(DerefMut::deref_mut)
     }
 
     /////////////////////////////////////////////////////////////////////////