diff --git a/src/tools/run-make-support/src/rustc.rs b/src/tools/run-make-support/src/rustc.rs
index f581204d5f1..1c83b630861 100644
--- a/src/tools/run-make-support/src/rustc.rs
+++ b/src/tools/run-make-support/src/rustc.rs
@@ -156,13 +156,20 @@ impl Rustc {
         self
     }
 
-    /// Add a directory to the library search path. Equivalent to `-L`` in rustc.
+    /// Add a directory to the library search path. Equivalent to `-L` in rustc.
     pub fn library_search_path<P: AsRef<Path>>(&mut self, path: P) -> &mut Self {
         self.cmd.arg("-L");
         self.cmd.arg(path.as_ref());
         self
     }
 
+    /// Override the system root. Equivalent to `--sysroot` in rustc.
+    pub fn sysroot<P: AsRef<Path>>(&mut self, path: P) -> &mut Self {
+        self.cmd.arg("--sysroot");
+        self.cmd.arg(path.as_ref());
+        self
+    }
+
     /// Specify the edition year.
     pub fn edition(&mut self, edition: &str) -> &mut Self {
         self.cmd.arg("--edition");
diff --git a/src/tools/tidy/src/allowed_run_make_makefiles.txt b/src/tools/tidy/src/allowed_run_make_makefiles.txt
index 96fb8e27e6d..2d62a064fae 100644
--- a/src/tools/tidy/src/allowed_run_make_makefiles.txt
+++ b/src/tools/tidy/src/allowed_run_make_makefiles.txt
@@ -25,7 +25,6 @@ run-make/compiler-rt-works-on-mingw/Makefile
 run-make/compressed-debuginfo/Makefile
 run-make/const-prop-lint/Makefile
 run-make/const_fn_mir/Makefile
-run-make/core-no-oom-handling/Makefile
 run-make/crate-data-smoke/Makefile
 run-make/crate-hash-rustc-version/Makefile
 run-make/crate-name-priority/Makefile
diff --git a/tests/run-make/core-no-oom-handling/Makefile b/tests/run-make/core-no-oom-handling/Makefile
deleted file mode 100644
index 28c5261ff85..00000000000
--- a/tests/run-make/core-no-oom-handling/Makefile
+++ /dev/null
@@ -1,6 +0,0 @@
-include ../tools.mk
-
-FAKEROOT=$(TMPDIR)/fakeroot
-
-all:
-	$(RUSTC) --edition=2021 -Dwarnings --crate-type=rlib ../../../library/core/src/lib.rs --sysroot=$(FAKEROOT) --cfg no_global_oom_handling
diff --git a/tests/run-make/core-no-oom-handling/rmake.rs b/tests/run-make/core-no-oom-handling/rmake.rs
new file mode 100644
index 00000000000..8b697e3cfa3
--- /dev/null
+++ b/tests/run-make/core-no-oom-handling/rmake.rs
@@ -0,0 +1,16 @@
+// This test checks that the core library can still compile correctly
+// when the no_global_oom_handling feature is turned on.
+// See https://github.com/rust-lang/rust/pull/110649
+
+use run_make_support::{rustc, tmp_dir};
+
+fn main() {
+    rustc()
+        .edition("2021")
+        .arg("-Dwarnings")
+        .crate_type("rlib")
+        .input("../../../library/core/src/lib.rs")
+        .sysroot(tmp_dir().join("fakeroot"));
+        .cfg("no_global_oom_handling")
+        .run();
+}