diff --git a/compiler/rustc_next_trait_solver/src/solve/mod.rs b/compiler/rustc_next_trait_solver/src/solve/mod.rs
index e4e0aba7b5022..85ba5cc37e08f 100644
--- a/compiler/rustc_next_trait_solver/src/solve/mod.rs
+++ b/compiler/rustc_next_trait_solver/src/solve/mod.rs
@@ -191,6 +191,7 @@ where
         goal: Goal<I, (I::Const, I::Ty)>,
     ) -> QueryResult<I> {
         let (ct, ty) = goal.predicate;
+        let ct = self.structurally_normalize_const(goal.param_env, ct)?;
 
         let ct_ty = match ct.kind() {
             ty::ConstKind::Infer(_) => {
diff --git a/tests/crashes/139905.rs b/tests/crashes/139905.rs
deleted file mode 100644
index 7da622aaabac6..0000000000000
--- a/tests/crashes/139905.rs
+++ /dev/null
@@ -1,6 +0,0 @@
-//@ known-bug: #139905
-trait a<const b: bool> {}
-impl a<{}> for () {}
-trait c {}
-impl<const d: u8> c for () where (): a<d> {}
-impl c for () {}
diff --git a/tests/ui/consts/normalize-before-const-arg-has-type-goal.rs b/tests/ui/consts/normalize-before-const-arg-has-type-goal.rs
new file mode 100644
index 0000000000000..9caa3c9e2145f
--- /dev/null
+++ b/tests/ui/consts/normalize-before-const-arg-has-type-goal.rs
@@ -0,0 +1,19 @@
+trait A<const B: bool> {}
+
+//     vv- Let's call this const "UNEVALUATED" for the comment below.
+impl A<{}> for () {}
+//~^ ERROR mismatched types
+
+// During overlap check, we end up trying to prove `(): A<?0c>`. Inference guides
+// `?0c = UNEVALUATED` (which is the `{}` const in the erroneous impl). We then
+// fail to prove `ConstArgHasType<UNEVALUATED, u8>` since `UNEVALUATED` has the
+// type `bool` from the type_of query. We then deeply normalize the predicate for
+// error reporting, which ends up normalizing `UNEVALUATED` to a ConstKind::Error.
+// This ended up ICEing when trying to report an error for the `ConstArgHasType`
+// predicate, since we don't expect `ConstArgHasType(ERROR, Ty)` to ever fail.
+
+trait C<const D: u8> {}
+impl<const D: u8> C<D> for () where (): A<D> {}
+impl<const D: u8> C<D> for () {}
+
+fn main() {}
diff --git a/tests/ui/consts/normalize-before-const-arg-has-type-goal.stderr b/tests/ui/consts/normalize-before-const-arg-has-type-goal.stderr
new file mode 100644
index 0000000000000..a53231846b73f
--- /dev/null
+++ b/tests/ui/consts/normalize-before-const-arg-has-type-goal.stderr
@@ -0,0 +1,9 @@
+error[E0308]: mismatched types
+  --> $DIR/normalize-before-const-arg-has-type-goal.rs:4:8
+   |
+LL | impl A<{}> for () {}
+   |        ^^ expected `bool`, found `()`
+
+error: aborting due to 1 previous error
+
+For more information about this error, try `rustc --explain E0308`.