diff --git a/Tests/test_file_bufrstub.py b/Tests/test_file_bufrstub.py
index 11acc1c88c0..e330404d64e 100644
--- a/Tests/test_file_bufrstub.py
+++ b/Tests/test_file_bufrstub.py
@@ -45,3 +45,35 @@ def test_save(tmp_path):
     # Act / Assert: stub cannot save without an implemented handler
     with pytest.raises(OSError):
         im.save(tmpfile)
+
+
+def test_handler(tmp_path):
+    class TestHandler:
+        opened = False
+        loaded = False
+        saved = False
+
+        def open(self, im):
+            self.opened = True
+
+        def load(self, im):
+            self.loaded = True
+            return Image.new("RGB", (1, 1))
+
+        def save(self, im, fp, filename):
+            self.saved = True
+
+    handler = TestHandler()
+    BufrStubImagePlugin.register_handler(handler)
+    with Image.open(TEST_FILE) as im:
+        assert handler.opened
+        assert not handler.loaded
+
+        im.load()
+        assert handler.loaded
+
+        temp_file = str(tmp_path / "temp.bufr")
+        im.save(temp_file)
+        assert handler.saved
+
+    BufrStubImagePlugin._handler = None
diff --git a/Tests/test_file_gribstub.py b/Tests/test_file_gribstub.py
index e4930d8dc2e..fd427746e96 100644
--- a/Tests/test_file_gribstub.py
+++ b/Tests/test_file_gribstub.py
@@ -45,3 +45,35 @@ def test_save(tmp_path):
     # Act / Assert: stub cannot save without an implemented handler
     with pytest.raises(OSError):
         im.save(tmpfile)
+
+
+def test_handler(tmp_path):
+    class TestHandler:
+        opened = False
+        loaded = False
+        saved = False
+
+        def open(self, im):
+            self.opened = True
+
+        def load(self, im):
+            self.loaded = True
+            return Image.new("RGB", (1, 1))
+
+        def save(self, im, fp, filename):
+            self.saved = True
+
+    handler = TestHandler()
+    GribStubImagePlugin.register_handler(handler)
+    with Image.open(TEST_FILE) as im:
+        assert handler.opened
+        assert not handler.loaded
+
+        im.load()
+        assert handler.loaded
+
+        temp_file = str(tmp_path / "temp.grib")
+        im.save(temp_file)
+        assert handler.saved
+
+    GribStubImagePlugin._handler = None
diff --git a/Tests/test_file_hdf5stub.py b/Tests/test_file_hdf5stub.py
index ff339705522..20b4b9619af 100644
--- a/Tests/test_file_hdf5stub.py
+++ b/Tests/test_file_hdf5stub.py
@@ -46,3 +46,35 @@ def test_save():
             im.save(dummy_filename)
         with pytest.raises(OSError):
             Hdf5StubImagePlugin._save(im, dummy_fp, dummy_filename)
+
+
+def test_handler(tmp_path):
+    class TestHandler:
+        opened = False
+        loaded = False
+        saved = False
+
+        def open(self, im):
+            self.opened = True
+
+        def load(self, im):
+            self.loaded = True
+            return Image.new("RGB", (1, 1))
+
+        def save(self, im, fp, filename):
+            self.saved = True
+
+    handler = TestHandler()
+    Hdf5StubImagePlugin.register_handler(handler)
+    with Image.open(TEST_FILE) as im:
+        assert handler.opened
+        assert not handler.loaded
+
+        im.load()
+        assert handler.loaded
+
+        temp_file = str(tmp_path / "temp.h5")
+        im.save(temp_file)
+        assert handler.saved
+
+    Hdf5StubImagePlugin._handler = None
diff --git a/src/PIL/BufrStubImagePlugin.py b/src/PIL/BufrStubImagePlugin.py
index 48f21e1b3b4..9510f733e1a 100644
--- a/src/PIL/BufrStubImagePlugin.py
+++ b/src/PIL/BufrStubImagePlugin.py
@@ -59,7 +59,7 @@ def _load(self):
 
 
 def _save(im, fp, filename):
-    if _handler is None or not hasattr("_handler", "save"):
+    if _handler is None or not hasattr(_handler, "save"):
         raise OSError("BUFR save handler not installed")
     _handler.save(im, fp, filename)
 
diff --git a/src/PIL/GribStubImagePlugin.py b/src/PIL/GribStubImagePlugin.py
index b9bdd16e3e3..cc9bc2639fc 100644
--- a/src/PIL/GribStubImagePlugin.py
+++ b/src/PIL/GribStubImagePlugin.py
@@ -59,7 +59,7 @@ def _load(self):
 
 
 def _save(im, fp, filename):
-    if _handler is None or not hasattr("_handler", "save"):
+    if _handler is None or not hasattr(_handler, "save"):
         raise OSError("GRIB save handler not installed")
     _handler.save(im, fp, filename)
 
diff --git a/src/PIL/Hdf5StubImagePlugin.py b/src/PIL/Hdf5StubImagePlugin.py
index 362f2d3994d..df11cf2a6db 100644
--- a/src/PIL/Hdf5StubImagePlugin.py
+++ b/src/PIL/Hdf5StubImagePlugin.py
@@ -59,7 +59,7 @@ def _load(self):
 
 
 def _save(im, fp, filename):
-    if _handler is None or not hasattr("_handler", "save"):
+    if _handler is None or not hasattr(_handler, "save"):
         raise OSError("HDF5 save handler not installed")
     _handler.save(im, fp, filename)