diff --git a/compiler/rustc_const_eval/src/transform/check_consts/check.rs b/compiler/rustc_const_eval/src/transform/check_consts/check.rs
index 2854e6fd396c2..4e3a8b64094af 100644
--- a/compiler/rustc_const_eval/src/transform/check_consts/check.rs
+++ b/compiler/rustc_const_eval/src/transform/check_consts/check.rs
@@ -1004,11 +1004,12 @@ impl Visitor<'tcx> for Checker<'mir, 'tcx> {
                 }
 
                 let mut err_span = self.span;
+                let ty_of_dropped_place = dropped_place.ty(self.body, self.tcx).ty;
 
-                let ty_needs_non_const_drop = qualifs::NeedsNonConstDrop::in_any_value_of_ty(
-                    self.ccx,
-                    dropped_place.ty(self.body, self.tcx).ty,
-                );
+                let ty_needs_non_const_drop =
+                    qualifs::NeedsNonConstDrop::in_any_value_of_ty(self.ccx, ty_of_dropped_place);
+
+                debug!(?ty_of_dropped_place, ?ty_needs_non_const_drop);
 
                 if !ty_needs_non_const_drop {
                     return;
diff --git a/compiler/rustc_passes/src/check_const.rs b/compiler/rustc_passes/src/check_const.rs
index 82486a6a5f2e2..9ccf76b5700c2 100644
--- a/compiler/rustc_passes/src/check_const.rs
+++ b/compiler/rustc_passes/src/check_const.rs
@@ -173,6 +173,12 @@ impl<'tcx> CheckConstVisitor<'tcx> {
                 None => return true,
             };
 
+            // If the function belongs to a trait, then it must enable the const_trait_impl
+            // feature to use that trait function (with a const default body).
+            if tcx.trait_of_item(def_id).is_some() {
+                return true;
+            }
+
             // If this crate is not using stability attributes, or this function is not claiming to be a
             // stable `const fn`, that is all that is required.
             if !tcx.features().staged_api || tcx.has_attr(def_id, sym::rustc_const_unstable) {
diff --git a/compiler/rustc_trait_selection/src/traits/select/candidate_assembly.rs b/compiler/rustc_trait_selection/src/traits/select/candidate_assembly.rs
index 1d0c54f86dea8..0ff3611f8f80d 100644
--- a/compiler/rustc_trait_selection/src/traits/select/candidate_assembly.rs
+++ b/compiler/rustc_trait_selection/src/traits/select/candidate_assembly.rs
@@ -304,7 +304,7 @@ impl<'cx, 'tcx> SelectionContext<'cx, 'tcx> {
                 && obligation.predicate.skip_binder().constness == ty::BoundConstness::ConstIfConst
             {
                 if self.is_in_const_context {
-                    self.assemble_const_drop_candidates(obligation, &mut candidates)?;
+                    self.assemble_const_drop_candidates(obligation, stack, &mut candidates)?;
                 } else {
                     debug!("passing ~const Drop bound; in non-const context");
                     // `~const Drop` when we are not in a const context has no effect.
@@ -911,9 +911,10 @@ impl<'cx, 'tcx> SelectionContext<'cx, 'tcx> {
         }
     }
 
-    fn assemble_const_drop_candidates(
+    fn assemble_const_drop_candidates<'a>(
         &mut self,
         obligation: &TraitObligation<'tcx>,
+        obligation_stack: &TraitObligationStack<'a, 'tcx>,
         candidates: &mut SelectionCandidateSet<'tcx>,
     ) -> Result<(), SelectionError<'tcx>> {
         let mut stack: Vec<(Ty<'tcx>, usize)> = vec![(obligation.self_ty().skip_binder(), 0)];
@@ -922,7 +923,7 @@ impl<'cx, 'tcx> SelectionContext<'cx, 'tcx> {
             let mut noreturn = false;
 
             self.check_recursion_depth(depth, obligation)?;
-            let mut copy_candidates = SelectionCandidateSet { vec: Vec::new(), ambiguous: false };
+            let mut new_candidates = SelectionCandidateSet { vec: Vec::new(), ambiguous: false };
             let mut copy_obligation =
                 obligation.with(obligation.predicate.rebind(ty::TraitPredicate {
                     trait_ref: ty::TraitRef {
@@ -933,13 +934,29 @@ impl<'cx, 'tcx> SelectionContext<'cx, 'tcx> {
                     polarity: ty::ImplPolarity::Positive,
                 }));
             copy_obligation.recursion_depth = depth + 1;
-            self.assemble_candidates_from_impls(&copy_obligation, &mut copy_candidates);
+            self.assemble_candidates_from_impls(&copy_obligation, &mut new_candidates);
             let copy_conditions = self.copy_clone_conditions(&copy_obligation);
-            self.assemble_builtin_bound_candidates(copy_conditions, &mut copy_candidates);
-            if !copy_candidates.vec.is_empty() {
+            self.assemble_builtin_bound_candidates(copy_conditions, &mut new_candidates);
+            let copy_stack = self.push_stack(obligation_stack.list(), &copy_obligation);
+            self.assemble_candidates_from_caller_bounds(&copy_stack, &mut new_candidates)?;
+
+            let const_drop_obligation =
+                obligation.with(obligation.predicate.rebind(ty::TraitPredicate {
+                    trait_ref: ty::TraitRef {
+                        def_id: self.tcx().require_lang_item(hir::LangItem::Drop, None),
+                        substs: self.tcx().mk_substs_trait(ty, &[]),
+                    },
+                    constness: ty::BoundConstness::ConstIfConst,
+                    polarity: ty::ImplPolarity::Positive,
+                }));
+
+            let const_drop_stack = self.push_stack(obligation_stack.list(), &const_drop_obligation);
+            self.assemble_candidates_from_caller_bounds(&const_drop_stack, &mut new_candidates)?;
+
+            if !new_candidates.vec.is_empty() {
                 noreturn = true;
             }
-            debug!(?copy_candidates.vec, "assemble_const_drop_candidates - copy");
+            debug!(?new_candidates.vec, "assemble_const_drop_candidates");
 
             match ty.kind() {
                 ty::Int(_)
diff --git a/src/test/ui/rfc-2632-const-trait-impl/const-drop-bound.rs b/src/test/ui/rfc-2632-const-trait-impl/const-drop-bound.rs
new file mode 100644
index 0000000000000..83fa32bf092bb
--- /dev/null
+++ b/src/test/ui/rfc-2632-const-trait-impl/const-drop-bound.rs
@@ -0,0 +1,20 @@
+// check-pass
+
+#![feature(const_trait_impl)]
+#![feature(const_fn_trait_bound)]
+#![feature(const_precise_live_drops)]
+
+const fn foo<T, E>(res: Result<T, E>) -> Option<T> where E: ~const Drop {
+    match res {
+        Ok(t) => Some(t),
+        Err(_e) => None,
+    }
+}
+
+pub struct Foo<T>(T);
+
+const fn baz<T: ~const Drop, E: ~const Drop>(res: Result<Foo<T>, Foo<E>>) -> Option<Foo<T>> {
+    foo(res)
+}
+
+fn main() {}
diff --git a/src/test/ui/rfc-2632-const-trait-impl/trait-default-body-stability.rs b/src/test/ui/rfc-2632-const-trait-impl/trait-default-body-stability.rs
new file mode 100644
index 0000000000000..cbfdf89b7bd19
--- /dev/null
+++ b/src/test/ui/rfc-2632-const-trait-impl/trait-default-body-stability.rs
@@ -0,0 +1,51 @@
+// check-pass
+
+#![feature(staged_api)]
+#![feature(const_trait_impl)]
+#![feature(const_fn_trait_bound)]
+#![feature(const_t_try)]
+#![feature(const_try)]
+#![feature(try_trait_v2)]
+
+#![stable(feature = "foo", since = "1.0")]
+
+use std::ops::{ControlFlow, FromResidual, Try};
+
+#[stable(feature = "foo", since = "1.0")]
+pub struct T;
+
+#[stable(feature = "foo", since = "1.0")]
+#[rustc_const_unstable(feature = "const_t_try", issue = "none")]
+impl const Try for T {
+    type Output = T;
+    type Residual = T;
+
+    fn from_output(t: T) -> T {
+        t
+    }
+
+    fn branch(self) -> ControlFlow<T, T> {
+        ControlFlow::Continue(self)
+    }
+}
+
+#[stable(feature = "foo", since = "1.0")]
+#[rustc_const_unstable(feature = "const_t_try", issue = "none")]
+impl const FromResidual for T {
+    fn from_residual(t: T) -> T {
+        t
+    }
+}
+
+#[stable(feature = "foo", since = "1.0")]
+pub trait Tr {
+    #[default_method_body_is_const]
+    #[stable(feature = "foo", since = "1.0")]
+    fn bar() -> T {
+        T?
+        // Should be allowed.
+        // Must enable unstable features to call this trait fn in const contexts.
+    }
+}
+
+fn main() {}