diff --git a/tests/compile-fail/oom.rs b/tests/compile-fail/oom.rs
new file mode 100644
index 000000000000..83109a77e620
--- /dev/null
+++ b/tests/compile-fail/oom.rs
@@ -0,0 +1,11 @@
+#![feature(custom_attribute)]
+#![miri(memory_size="0")]
+
+fn bar() {
+    let x = 5;
+    assert_eq!(x, 6);
+}
+
+fn main() { //~ ERROR tried to allocate 4 more bytes, but only 0 bytes are free of the 0 byte memory
+    bar();
+}
diff --git a/tests/compile-fail/oom2.rs b/tests/compile-fail/oom2.rs
new file mode 100644
index 000000000000..63c51dbaa7d2
--- /dev/null
+++ b/tests/compile-fail/oom2.rs
@@ -0,0 +1,39 @@
+#![feature(custom_attribute)]
+#![miri(memory_size="1000")]
+
+fn bar(i: i32) {
+    if i < 1000 {
+        bar(i + 1) //~ ERROR tried to allocate 4 more bytes, but only 1 bytes are free of the 1000 byte memory
+        //~^NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+        //~|NOTE inside call to bar
+    }
+}
+
+fn main() { //~NOTE inside call to main
+    bar(1);
+    //~^NOTE inside call to bar
+}