diff --git a/Tests/test_file_libtiff.py b/Tests/test_file_libtiff.py
index f886d3aae99..871ad28b579 100644
--- a/Tests/test_file_libtiff.py
+++ b/Tests/test_file_libtiff.py
@@ -1065,3 +1065,9 @@ def test_save_zero(self, compression, tmp_path):
         out = str(tmp_path / "temp.tif")
         with pytest.raises(SystemError):
             im.save(out, compression=compression)
+
+    def test_save_many_compressed(self, tmp_path):
+        im = hopper()
+        out = str(tmp_path / "temp.tif")
+        for _ in range(10000):
+            im.save(out, compression="jpeg")