diff --git a/compiler/rustc_monomorphize/src/collector.rs b/compiler/rustc_monomorphize/src/collector.rs
index 173030e0326e8..6e9130549e3f9 100644
--- a/compiler/rustc_monomorphize/src/collector.rs
+++ b/compiler/rustc_monomorphize/src/collector.rs
@@ -948,10 +948,14 @@ fn visit_instance_use<'tcx>(
             bug!("{:?} being reified", instance);
         }
         ty::InstanceKind::DropGlue(_, None) => {
-            // Don't need to emit noop drop glue if we are calling directly.
-            if !is_direct_call {
-                output.push(create_fn_mono_item(tcx, instance, source));
-            }
+            // No-op drop glue never needs to be emitted.
+            // In direct calls, we skip it in codegen. In indirect calls (vtables) we place a null
+            // pointer rather than codegen'ing a pointer to the empty drop.
+            //
+            // Note that if user code casts drop_in_place to a fn(...) that's not a DropGlue, so
+            // it won't hit this branch.
+            //
+            // If we get this wrong we'll see linker errors.
         }
         ty::InstanceKind::DropGlue(_, Some(_))
         | ty::InstanceKind::FutureDropPollShim(..)
diff --git a/tests/codegen-units/item-collection/instantiation-through-vtable.rs b/tests/codegen-units/item-collection/instantiation-through-vtable.rs
index 8f13fd558083c..7882a526b6829 100644
--- a/tests/codegen-units/item-collection/instantiation-through-vtable.rs
+++ b/tests/codegen-units/item-collection/instantiation-through-vtable.rs
@@ -24,7 +24,6 @@ impl<T> Trait for Struct<T> {
 pub fn start(_: isize, _: *const *const u8) -> isize {
     let s1 = Struct { _a: 0u32 };
 
-    //~ MONO_ITEM fn std::ptr::drop_in_place::<Struct<u32>> - shim(None) @@ instantiation_through_vtable-cgu.0[External]
     //~ MONO_ITEM fn <Struct<u32> as Trait>::foo
     //~ MONO_ITEM fn <Struct<u32> as Trait>::bar
     let r1 = &s1 as &Trait;
@@ -32,7 +31,6 @@ pub fn start(_: isize, _: *const *const u8) -> isize {
     r1.bar();
 
     let s1 = Struct { _a: 0u64 };
-    //~ MONO_ITEM fn std::ptr::drop_in_place::<Struct<u64>> - shim(None) @@ instantiation_through_vtable-cgu.0[External]
     //~ MONO_ITEM fn <Struct<u64> as Trait>::foo
     //~ MONO_ITEM fn <Struct<u64> as Trait>::bar
     let _ = &s1 as &Trait;
diff --git a/tests/codegen-units/item-collection/non-generic-closures.rs b/tests/codegen-units/item-collection/non-generic-closures.rs
index 124fe7e3b69a0..740b963c07c92 100644
--- a/tests/codegen-units/item-collection/non-generic-closures.rs
+++ b/tests/codegen-units/item-collection/non-generic-closures.rs
@@ -1,4 +1,4 @@
-//@ compile-flags:-Clink-dead-code -Zinline-mir=no
+//@ compile-flags:-Clink-dead-code -Zinline-mir=no -Zhuman-readable-cgu-names
 
 #![deny(dead_code)]
 #![crate_type = "lib"]
@@ -22,9 +22,8 @@ fn assigned_to_variable_but_not_executed() {
 //~ MONO_ITEM fn assigned_to_variable_executed_indirectly @@ non_generic_closures-cgu.0[External]
 fn assigned_to_variable_executed_indirectly() {
     //~ MONO_ITEM fn assigned_to_variable_executed_indirectly::{closure#0} @@ non_generic_closures-cgu.0[External]
-    //~ MONO_ITEM fn <{closure@TEST_PATH:28:13: 28:21} as std::ops::FnOnce<(i32,)>>::call_once - shim @@ non_generic_closures-cgu.0[External]
-    //~ MONO_ITEM fn <{closure@TEST_PATH:28:13: 28:21} as std::ops::FnOnce<(i32,)>>::call_once - shim(vtable) @@ non_generic_closures-cgu.0[External]
-    //~ MONO_ITEM fn std::ptr::drop_in_place::<{closure@TEST_PATH:28:13: 28:21}> - shim(None) @@ non_generic_closures-cgu.0[External]
+    //~ MONO_ITEM fn <{closure@TEST_PATH:27:13: 27:21} as std::ops::FnOnce<(i32,)>>::call_once - shim @@ non_generic_closures-cgu.0[External]
+    //~ MONO_ITEM fn <{closure@TEST_PATH:27:13: 27:21} as std::ops::FnOnce<(i32,)>>::call_once - shim(vtable) @@ non_generic_closures-cgu.0[External]
     let f = |a: i32| {
         let _ = a + 2;
     };
@@ -40,6 +39,20 @@ fn assigned_to_variable_executed_directly() {
     f(4);
 }
 
+// Make sure we generate mono items for stateful closures that need dropping
+//~ MONO_ITEM fn with_drop @@ non_generic_closures-cgu.0[External]
+fn with_drop(v: PresentDrop) {
+    //~ MONO_ITEM fn with_drop::{closure#0} @@ non_generic_closures-cgu.0[External]
+    //~ MONO_ITEM fn std::ptr::drop_in_place::<PresentDrop> - shim(Some(PresentDrop)) @@ non_generic_closures-cgu.0[Internal]
+    //~ MONO_ITEM fn std::ptr::drop_in_place::<{closure@TEST_PATH:49:14: 49:24}> - shim(Some({closure@TEST_PATH:49:14: 49:24})) @@ non_generic_closures-cgu.0[Internal]
+
+    let _f = |a: usize| {
+        let _ = a + 2;
+        //~ MONO_ITEM fn std::mem::drop::<PresentDrop> @@ non_generic_closures-cgu.0[External]
+        drop(v);
+    };
+}
+
 //~ MONO_ITEM fn start @@ non_generic_closures-cgu.0[External]
 #[no_mangle]
 pub fn start(_: isize, _: *const *const u8) -> isize {
@@ -47,6 +60,7 @@ pub fn start(_: isize, _: *const *const u8) -> isize {
     assigned_to_variable_but_not_executed();
     assigned_to_variable_executed_directly();
     assigned_to_variable_executed_indirectly();
+    with_drop(PresentDrop);
 
     0
 }
@@ -55,3 +69,10 @@ pub fn start(_: isize, _: *const *const u8) -> isize {
 fn run_closure(f: &Fn(i32)) {
     f(3);
 }
+
+struct PresentDrop;
+
+impl Drop for PresentDrop {
+    //~ MONO_ITEM fn <PresentDrop as std::ops::Drop>::drop @@ non_generic_closures-cgu.0[External]
+    fn drop(&mut self) {}
+}
diff --git a/tests/codegen-units/item-collection/unsizing.rs b/tests/codegen-units/item-collection/unsizing.rs
index 15e42bce2495d..d008d9d6898af 100644
--- a/tests/codegen-units/item-collection/unsizing.rs
+++ b/tests/codegen-units/item-collection/unsizing.rs
@@ -42,33 +42,47 @@ struct Wrapper<T: ?Sized>(#[allow(dead_code)] *const T);
 
 impl<T: ?Sized + Unsize<U>, U: ?Sized> CoerceUnsized<Wrapper<U>> for Wrapper<T> {}
 
+struct PresentDrop;
+
+impl Drop for PresentDrop {
+    fn drop(&mut self) {}
+}
+
+// Custom Coercion Case
+impl Trait for PresentDrop {
+    fn foo(&self) {}
+}
+
 //~ MONO_ITEM fn start
 #[no_mangle]
 pub fn start(_: isize, _: *const *const u8) -> isize {
     // simple case
     let bool_sized = &true;
-    //~ MONO_ITEM fn std::ptr::drop_in_place::<bool> - shim(None) @@ unsizing-cgu.0[Internal]
     //~ MONO_ITEM fn <bool as Trait>::foo
     let _bool_unsized = bool_sized as &Trait;
 
     let char_sized = &'a';
 
-    //~ MONO_ITEM fn std::ptr::drop_in_place::<char> - shim(None) @@ unsizing-cgu.0[Internal]
     //~ MONO_ITEM fn <char as Trait>::foo
     let _char_unsized = char_sized as &Trait;
 
     // struct field
     let struct_sized = &Struct { _a: 1, _b: 2, _c: 3.0f64 };
-    //~ MONO_ITEM fn std::ptr::drop_in_place::<f64> - shim(None) @@ unsizing-cgu.0[Internal]
     //~ MONO_ITEM fn <f64 as Trait>::foo
     let _struct_unsized = struct_sized as &Struct<Trait>;
 
     // custom coercion
     let wrapper_sized = Wrapper(&0u32);
-    //~ MONO_ITEM fn std::ptr::drop_in_place::<u32> - shim(None) @@ unsizing-cgu.0[Internal]
     //~ MONO_ITEM fn <u32 as Trait>::foo
     let _wrapper_sized = wrapper_sized as Wrapper<Trait>;
 
+    // with drop
+    let droppable = &PresentDrop;
+    //~ MONO_ITEM fn <PresentDrop as std::ops::Drop>::drop @@ unsizing-cgu.0[Internal]
+    //~ MONO_ITEM fn std::ptr::drop_in_place::<PresentDrop> - shim(Some(PresentDrop)) @@ unsizing-cgu.0[Internal]
+    //~ MONO_ITEM fn <PresentDrop as Trait>::foo
+    let droppable = droppable as &dyn Trait;
+
     false.foo();
 
     0
diff --git a/tests/codegen/sanitizer/cfi/emit-type-metadata-id-itanium-cxx-abi-drop-in-place.rs b/tests/codegen/sanitizer/cfi/emit-type-metadata-id-itanium-cxx-abi-drop-in-place.rs
index 2a7eca6fc1963..8fec275fd0646 100644
--- a/tests/codegen/sanitizer/cfi/emit-type-metadata-id-itanium-cxx-abi-drop-in-place.rs
+++ b/tests/codegen/sanitizer/cfi/emit-type-metadata-id-itanium-cxx-abi-drop-in-place.rs
@@ -1,5 +1,9 @@
 // Verifies that type metadata identifiers for drop functions are emitted correctly.
 //
+// Non needs_drop drop glue isn't codegen'd at all, so we don't try to check the IDs there. But we
+// do check it's not emitted which should help catch bugs if we do start generating it again in the
+// future.
+//
 //@ needs-sanitizer-cfi
 //@ compile-flags: -Clto -Cno-prepopulate-passes -Copt-level=0 -Zsanitizer=cfi -Ctarget-feature=-crt-static
 
@@ -10,18 +14,18 @@
 // CHECK:       call i1 @llvm.type.test(ptr {{%.+}}, metadata !"_ZTSFvPu3dynIu{{[0-9]+}}NtNtNtC{{[[:print:]]+}}_4core3ops4drop4Dropu6regionEE")
 
 struct EmptyDrop;
-// CHECK: define{{.*}}4core3ptr{{[0-9]+}}drop_in_place$LT${{.*}}EmptyDrop$GT${{.*}}!type ![[TYPE1]] !type !{{[0-9]+}} !type !{{[0-9]+}} !type !{{[0-9]+}}
+// CHECK-NOT: define{{.*}}4core3ptr{{[0-9]+}}drop_in_place$LT${{.*}}EmptyDrop$GT${{.*}}!type ![[TYPE1]] !type !{{[0-9]+}} !type !{{[0-9]+}} !type !{{[0-9]+}}
 
-struct NonEmptyDrop;
+struct PresentDrop;
 
-impl Drop for NonEmptyDrop {
+impl Drop for PresentDrop {
     fn drop(&mut self) {}
-    // CHECK: define{{.*}}4core3ptr{{[0-9]+}}drop_in_place$LT${{.*}}NonEmptyDrop$GT${{.*}}!type ![[TYPE1]] !type !{{[0-9]+}} !type !{{[0-9]+}} !type !{{[0-9]+}}
+    // CHECK: define{{.*}}4core3ptr{{[0-9]+}}drop_in_place$LT${{.*}}PresentDrop$GT${{.*}}!type ![[TYPE1]] !type !{{[0-9]+}} !type !{{[0-9]+}} !type !{{[0-9]+}}
 }
 
 pub fn foo() {
     let _ = Box::new(EmptyDrop) as Box<dyn Send>;
-    let _ = Box::new(NonEmptyDrop) as Box<dyn Send>;
+    let _ = Box::new(PresentDrop) as Box<dyn Send>;
 }
 
 // CHECK: ![[TYPE1]] = !{i64 0, !"_ZTSFvPu3dynIu{{[0-9]+}}NtNtNtC{{[[:print:]]+}}_4core3ops4drop4Dropu6regionEE"}