diff --git a/src/librustc_typeck/astconv.rs b/src/librustc_typeck/astconv.rs
index 16033c6c50f..da47ccf38a0 100644
--- a/src/librustc_typeck/astconv.rs
+++ b/src/librustc_typeck/astconv.rs
@@ -1902,7 +1902,18 @@ impl<'o, 'gcx: 'tcx, 'tcx> dyn AstConv<'gcx, 'tcx> + 'o {
             ty,
         };
 
-        let expr = &tcx.hir().body(ast_const.body).value;
+        let mut expr = &tcx.hir().body(ast_const.body).value;
+
+        // Unwrap a block, so that e.g. `{ P }` is recognised as a parameter. Const arguments
+        // currently have to be wrapped in curly brackets, so it's necessary to special-case.
+        if let ExprKind::Block(block, _) = &expr.node {
+            if block.stmts.is_empty() {
+                if let Some(trailing) = &block.expr {
+                    expr = &trailing;
+                }
+            }
+        }
+
         if let ExprKind::Path(ref qpath) = expr.node {
             if let hir::QPath::Resolved(_, ref path) = qpath {
                 if let Res::Def(DefKind::ConstParam, def_id) = path.res {
diff --git a/src/test/ui/const-generics/impl-const-generic-struct.rs b/src/test/ui/const-generics/impl-const-generic-struct.rs
new file mode 100644
index 00000000000..7a0c0f2be5d
--- /dev/null
+++ b/src/test/ui/const-generics/impl-const-generic-struct.rs
@@ -0,0 +1,16 @@
+// run-pass
+
+#![feature(const_generics)]
+//~^ WARN the feature `const_generics` is incomplete and may cause the compiler to crash
+
+struct S<const X: u32>;
+
+impl<const X: u32> S<{X}> {
+    fn x() -> u32 {
+        X
+    }
+}
+
+fn main() {
+    assert_eq!(S::<19>::x(), 19);
+}
diff --git a/src/test/ui/const-generics/impl-const-generic-struct.stderr b/src/test/ui/const-generics/impl-const-generic-struct.stderr
new file mode 100644
index 00000000000..d443e060a97
--- /dev/null
+++ b/src/test/ui/const-generics/impl-const-generic-struct.stderr
@@ -0,0 +1,6 @@
+warning: the feature `const_generics` is incomplete and may cause the compiler to crash
+  --> $DIR/impl-const-generic-struct.rs:3:12
+   |
+LL | #![feature(const_generics)]
+   |            ^^^^^^^^^^^^^^
+