diff --git a/compiler/rustc_const_eval/messages.ftl b/compiler/rustc_const_eval/messages.ftl
index db788b6b15199..8a6dfb892490a 100644
--- a/compiler/rustc_const_eval/messages.ftl
+++ b/compiler/rustc_const_eval/messages.ftl
@@ -415,8 +415,8 @@ const_eval_unstable_const_fn = `{$def_path}` is not yet stable as a const fn
 
 const_eval_unstable_in_stable =
     const-stable function cannot use `#[feature({$gate})]`
-    .unstable_sugg = if it is not part of the public API, make this function unstably const
-    .bypass_sugg = otherwise `#[rustc_allow_const_fn_unstable]` can be used to bypass stability checks (but requires team approval)
+    .unstable_sugg = if the function is not (yet) meant to be stable, make this function unstably const
+    .bypass_sugg = otherwise, as a last resort `#[rustc_allow_const_fn_unstable]` can be used to bypass stability checks (but requires team approval)
 
 const_eval_unterminated_c_string =
     reading a null-terminated string starting at {$pointer} with no null found before end of allocation
diff --git a/compiler/rustc_passes/src/stability.rs b/compiler/rustc_passes/src/stability.rs
index 4d58590ca3b0e..ba4c300ea61af 100644
--- a/compiler/rustc_passes/src/stability.rs
+++ b/compiler/rustc_passes/src/stability.rs
@@ -544,9 +544,8 @@ impl<'tcx> MissingStabilityAnnotations<'tcx> {
         let is_stable =
             self.tcx.lookup_stability(def_id).is_some_and(|stability| stability.level.is_stable());
         let missing_const_stability_attribute = self.tcx.lookup_const_stability(def_id).is_none();
-        let is_reachable = self.effective_visibilities.is_reachable(def_id);
 
-        if is_const && is_stable && missing_const_stability_attribute && is_reachable {
+        if is_const && is_stable && missing_const_stability_attribute {
             let descr = self.tcx.def_descr(def_id.to_def_id());
             self.tcx.dcx().emit_err(errors::MissingConstStabAttr { span, descr });
         }
diff --git a/tests/ui/consts/min_const_fn/min_const_fn_libstd_stability.stderr b/tests/ui/consts/min_const_fn/min_const_fn_libstd_stability.stderr
index 019deda063c78..cb447719f9c58 100644
--- a/tests/ui/consts/min_const_fn/min_const_fn_libstd_stability.stderr
+++ b/tests/ui/consts/min_const_fn/min_const_fn_libstd_stability.stderr
@@ -20,12 +20,12 @@ error: const-stable function cannot use `#[feature(const_refs_to_cell)]`
 LL |     x.get();
    |     ^
    |
-help: if it is not part of the public API, make this function unstably const
+help: if the function is not (yet) meant to be stable, make this function unstably const
    |
 LL + #[rustc_const_unstable(feature = "...", issue = "...")]
 LL | const fn bar3() -> u32 {
    |
-help: otherwise `#[rustc_allow_const_fn_unstable]` can be used to bypass stability checks (but requires team approval)
+help: otherwise, as a last resort `#[rustc_allow_const_fn_unstable]` can be used to bypass stability checks (but requires team approval)
    |
 LL + #[rustc_allow_const_fn_unstable(const_refs_to_cell)]
 LL | const fn bar3() -> u32 {