diff --git a/compiler/rustc_monomorphize/src/collector.rs b/compiler/rustc_monomorphize/src/collector.rs
index 76972ff2263d8..9487692662bb7 100644
--- a/compiler/rustc_monomorphize/src/collector.rs
+++ b/compiler/rustc_monomorphize/src/collector.rs
@@ -1434,6 +1434,15 @@ impl<'v> RootCollector<'_, 'v> {
                 {
                     debug!("RootCollector: ADT drop-glue for `{id:?}`",);
 
+                    // This type is impossible to instantiate, so we should not try to
+                    // generate a `drop_in_place` instance for it.
+                    if self.tcx.instantiate_and_check_impossible_predicates((
+                        id.owner_id.to_def_id(),
+                        ty::List::empty(),
+                    )) {
+                        return;
+                    }
+
                     let ty = self.tcx.type_of(id.owner_id.to_def_id()).no_bound_vars().unwrap();
                     visit_drop_use(self.tcx, ty, true, DUMMY_SP, self.output);
                 }
diff --git a/tests/ui/codegen/mono-impossible-drop.rs b/tests/ui/codegen/mono-impossible-drop.rs
new file mode 100644
index 0000000000000..dec013cfe54b3
--- /dev/null
+++ b/tests/ui/codegen/mono-impossible-drop.rs
@@ -0,0 +1,18 @@
+//@ compile-flags: -Clink-dead-code=on --crate-type=lib
+//@ build-pass
+
+#![feature(trivial_bounds)]
+#![allow(trivial_bounds)]
+
+// Make sure we don't monomorphize the drop impl for `Baz`, since it has predicates
+// that don't hold under a reveal-all param env.
+
+trait Foo {
+    type Assoc;
+}
+
+struct Bar;
+
+struct Baz(<Bar as Foo>::Assoc)
+where
+    Bar: Foo;