diff --git a/library/core/src/ops/function.rs b/library/core/src/ops/function.rs
index 8d4b0a7ccacdb..11b43b621c7b8 100644
--- a/library/core/src/ops/function.rs
+++ b/library/core/src/ops/function.rs
@@ -576,9 +576,10 @@ mod impls {
     use crate::marker::Tuple;
 
     #[stable(feature = "rust1", since = "1.0.0")]
-    impl<A: Tuple, F: ?Sized> Fn<A> for &F
+    #[rustc_const_unstable(feature = "const_fn_trait_ref_impls", issue = "101803")]
+    impl<A: Tuple, F: ?Sized> const Fn<A> for &F
     where
-        F: Fn<A>,
+        F: ~const Fn<A>,
     {
         extern "rust-call" fn call(&self, args: A) -> F::Output {
             (**self).call(args)
@@ -586,9 +587,10 @@ mod impls {
     }
 
     #[stable(feature = "rust1", since = "1.0.0")]
-    impl<A: Tuple, F: ?Sized> FnMut<A> for &F
+    #[rustc_const_unstable(feature = "const_fn_trait_ref_impls", issue = "101803")]
+    impl<A: Tuple, F: ?Sized> const FnMut<A> for &F
     where
-        F: Fn<A>,
+        F: ~const Fn<A>,
     {
         extern "rust-call" fn call_mut(&mut self, args: A) -> F::Output {
             (**self).call(args)
@@ -596,9 +598,10 @@ mod impls {
     }
 
     #[stable(feature = "rust1", since = "1.0.0")]
-    impl<A: Tuple, F: ?Sized> FnOnce<A> for &F
+    #[rustc_const_unstable(feature = "const_fn_trait_ref_impls", issue = "101803")]
+    impl<A: Tuple, F: ?Sized> const FnOnce<A> for &F
     where
-        F: Fn<A>,
+        F: ~const Fn<A>,
     {
         type Output = F::Output;
 
@@ -608,9 +611,10 @@ mod impls {
     }
 
     #[stable(feature = "rust1", since = "1.0.0")]
-    impl<A: Tuple, F: ?Sized> FnMut<A> for &mut F
+    #[rustc_const_unstable(feature = "const_fn_trait_ref_impls", issue = "101803")]
+    impl<A: Tuple, F: ?Sized> const FnMut<A> for &mut F
     where
-        F: FnMut<A>,
+        F: ~const FnMut<A>,
     {
         extern "rust-call" fn call_mut(&mut self, args: A) -> F::Output {
             (*self).call_mut(args)
@@ -618,9 +622,10 @@ mod impls {
     }
 
     #[stable(feature = "rust1", since = "1.0.0")]
-    impl<A: Tuple, F: ?Sized> FnOnce<A> for &mut F
+    #[rustc_const_unstable(feature = "const_fn_trait_ref_impls", issue = "101803")]
+    impl<A: Tuple, F: ?Sized> const FnOnce<A> for &mut F
     where
-        F: FnMut<A>,
+        F: ~const FnMut<A>,
     {
         type Output = F::Output;
         extern "rust-call" fn call_once(self, args: A) -> F::Output {
diff --git a/src/test/ui/consts/fn_trait_refs.rs b/src/test/ui/consts/fn_trait_refs.rs
new file mode 100644
index 0000000000000..57465c5592580
--- /dev/null
+++ b/src/test/ui/consts/fn_trait_refs.rs
@@ -0,0 +1,35 @@
+// run-pass
+#![feature(const_fn_trait_ref_impls)]
+#![feature(fn_traits)]
+#![feature(unboxed_closures)]
+#![feature(const_trait_impl)]
+#![feature(const_mut_refs)]
+
+use std::marker::Destruct;
+
+const fn test(i: i32) -> i32 {
+    i + 1
+}
+
+const fn call<F: ~const FnMut(i32) -> i32 + ~const Destruct>(mut f: F) -> F::Output {
+    f(5)
+}
+
+const fn use_fn<F: ~const FnMut(i32) -> i32 + ~const Destruct>(mut f: F) -> F::Output {
+    call(&mut f)
+}
+
+const fn test_fn() {}
+
+const fn tester<T>(_fn: T)
+where
+    T: ~const Fn() + ~const Destruct,
+{
+}
+
+const fn main() {
+    tester(test_fn);
+    let test_ref = &test_fn;
+    tester(test_ref);
+    assert!(use_fn(test) == 6);
+}