diff --git a/clippy_lints/src/non_copy_const.rs b/clippy_lints/src/non_copy_const.rs
index 46e26b326971..198ff8ae4926 100644
--- a/clippy_lints/src/non_copy_const.rs
+++ b/clippy_lints/src/non_copy_const.rs
@@ -5,7 +5,7 @@
 use std::ptr;
 
 use rustc::ty::adjustment::Adjust;
-use rustc::ty::{Ty, TypeFlags};
+use rustc::ty::{Ty, TypeFoldable};
 use rustc_hir::def::{DefKind, Res};
 use rustc_hir::{Expr, ExprKind, ImplItem, ImplItemKind, Item, ItemKind, Node, TraitItem, TraitItemKind, UnOp};
 use rustc_lint::{LateContext, LateLintPass, Lint};
@@ -128,7 +128,7 @@ fn verify_ty_bound<'a, 'tcx>(cx: &LateContext<'a, 'tcx>, ty: Ty<'tcx>, source: S
                 db.span_label(const_kw_span, "make this a static item (maybe with lazy_static)");
             },
             Source::Assoc { ty: ty_span, .. } => {
-                if ty.flags.contains(TypeFlags::HAS_FREE_LOCAL_NAMES) {
+                if !ty.has_infer_types_or_consts() {
                     db.span_label(ty_span, &format!("consider requiring `{}` to be `Copy`", ty));
                 }
             },
diff --git a/tests/ui/declare_interior_mutable_const.stderr b/tests/ui/declare_interior_mutable_const.stderr
index 6a9a57361f9f..910a28d49e8a 100644
--- a/tests/ui/declare_interior_mutable_const.stderr
+++ b/tests/ui/declare_interior_mutable_const.stderr
@@ -39,7 +39,9 @@ error: a `const` item should never be interior mutable
   --> $DIR/declare_interior_mutable_const.rs:40:5
    |
 LL |     const ATOMIC: AtomicUsize; //~ ERROR interior mutable
-   |     ^^^^^^^^^^^^^^^^^^^^^^^^^^
+   |     ^^^^^^^^^^^^^^-----------^
+   |                   |
+   |                   consider requiring `std::sync::atomic::AtomicUsize` to be `Copy`
 
 error: a `const` item should never be interior mutable
   --> $DIR/declare_interior_mutable_const.rs:44:5
@@ -88,7 +90,9 @@ error: a `const` item should never be interior mutable
   --> $DIR/declare_interior_mutable_const.rs:81:5
    |
 LL |     const ASSOC_3: AtomicUsize = AtomicUsize::new(14); //~ ERROR interior mutable
-   |     ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+   |     ^^^^^^^^^^^^^^^-----------^^^^^^^^^^^^^^^^^^^^^^^^
+   |                    |
+   |                    consider requiring `std::sync::atomic::AtomicUsize` to be `Copy`
 
 error: a `const` item should never be interior mutable
   --> $DIR/declare_interior_mutable_const.rs:84:5