diff --git a/src/tools/tidy/src/allowed_run_make_makefiles.txt b/src/tools/tidy/src/allowed_run_make_makefiles.txt
index 1a3d6f8d813..4aed36c9e54 100644
--- a/src/tools/tidy/src/allowed_run_make_makefiles.txt
+++ b/src/tools/tidy/src/allowed_run_make_makefiles.txt
@@ -116,7 +116,6 @@ run-make/issue-46239/Makefile
 run-make/issue-47384/Makefile
 run-make/issue-47551/Makefile
 run-make/issue-51671/Makefile
-run-make/issue-53964/Makefile
 run-make/issue-64153/Makefile
 run-make/issue-68794-textrel-on-minimal-lib/Makefile
 run-make/issue-69368/Makefile
diff --git a/tests/run-make/issue-53964/app.rs b/tests/run-make/external-crate-panic-handle-no-lint/app.rs
similarity index 100%
rename from tests/run-make/issue-53964/app.rs
rename to tests/run-make/external-crate-panic-handle-no-lint/app.rs
diff --git a/tests/run-make/issue-53964/panic.rs b/tests/run-make/external-crate-panic-handle-no-lint/panic.rs
similarity index 100%
rename from tests/run-make/issue-53964/panic.rs
rename to tests/run-make/external-crate-panic-handle-no-lint/panic.rs
diff --git a/tests/run-make/external-crate-panic-handle-no-lint/rmake.rs b/tests/run-make/external-crate-panic-handle-no-lint/rmake.rs
new file mode 100644
index 00000000000..de4023282ef
--- /dev/null
+++ b/tests/run-make/external-crate-panic-handle-no-lint/rmake.rs
@@ -0,0 +1,12 @@
+// Defining a crate that provides panic handling as an external crate
+// could uselessly trigger the "unused external crate" lint. In this test,
+// if the lint is triggered, it will trip #![deny(unused_extern_crates)],
+// and cause the test to fail.
+// See https://github.com/rust-lang/rust/issues/53964
+
+use run_make_support::{rustc, tmp_dir};
+
+fn main() {
+    rustc().input("panic.rs").run();
+    rustc().input("app.rs").panic("abort").emit("obj").library_search_path(tmp_dir()).run();
+}
diff --git a/tests/run-make/issue-53964/Makefile b/tests/run-make/issue-53964/Makefile
deleted file mode 100644
index 6bd83021374..00000000000
--- a/tests/run-make/issue-53964/Makefile
+++ /dev/null
@@ -1,5 +0,0 @@
-include ../tools.mk
-
-all:
-	$(RUSTC) panic.rs
-	$(RUSTC) -C panic=abort --emit=obj app.rs -L $(TMPDIR)