diff --git a/nova/tests/functional/integrated_helpers.py b/nova/tests/functional/integrated_helpers.py
index 645294333c58..c89ee5931abd 100644
--- a/nova/tests/functional/integrated_helpers.py
+++ b/nova/tests/functional/integrated_helpers.py
@@ -703,7 +703,8 @@ class InstanceHelperMixin:
             self.cinder.create_vol_attachment(
                 volume_id, server['id'])
 
-    def _create_server_boot_from_volume(self):
+    def _create_server_boot_from_volume(self, image_args=None,
+                                        flavor_id=None, networks=None):
         bfv_image_id = uuids.bfv_image_uuid
         timestamp = datetime.datetime(2011, 1, 1, 1, 2, 3)
 
@@ -719,11 +720,13 @@ class InstanceHelperMixin:
             'disk_format': 'raw',
             'min_disk': 0
         }
+        if image_args:
+            image.update(image_args)
 
         self.glance.create(None, image)
 
         # for bfv, image is not required in server request
-        server = self._build_server()
+        server = self._build_server(networks=networks, flavor_id=flavor_id)
         server.pop('imageRef')
 
         # as bfv-image will be used as source in block_device_mapping_v2
diff --git a/nova/tests/functional/regressions/test_bug_2007968.py b/nova/tests/functional/regressions/test_bug_2007968.py
new file mode 100644
index 000000000000..cfadb8a58644
--- /dev/null
+++ b/nova/tests/functional/regressions/test_bug_2007968.py
@@ -0,0 +1,60 @@
+# Licensed under the Apache License, Version 2.0 (the "License"); you may
+# not use this file except in compliance with the License. You may obtain
+# a copy of the License at
+#
+#      http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
+# WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the
+# License for the specific language governing permissions and limitations
+# under the License.
+
+import fixtures
+
+from nova.tests.fixtures import libvirt as fakelibvirt
+from nova.tests.functional.libvirt import base
+
+
+class Bug2007968RegressionTest(base.ServersTestBase):
+    """Regression test for bug 2007968
+    """
+
+    api_major_version = 'v2.1'
+    microversion = 'latest'
+
+    def setUp(self):
+        super().setUp()
+
+        self.useFixture(
+            fixtures.MockPatch(
+                'nova.virt.libvirt.driver.LibvirtDriver.'
+                'migrate_disk_and_power_off',
+                return_value='{}'
+            )
+        )
+
+        self.flags(allow_resize_to_same_host=True)
+        host_info = fakelibvirt.HostInfo()
+        self.start_compute(host_info=host_info, hostname='compute1')
+
+    def test_resize_with_smaller_memory_image_required(self):
+        # Resize down from old_flavor to new_flavor.
+        old_flavor = self._create_flavor(id='2007968_old', memory_mb=4096)
+        new_flavor = self._create_flavor(id='2007968_new', memory_mb=512)
+
+        # Now the instance for boot from image already has verification for
+        # image min ram, but the instance for boot from volume does not have
+        # such verification, so this bug only applies to instance that boot
+        # from volume.
+        server = self._create_server_boot_from_volume(
+            networks='auto',
+            image_args={'min_ram': 4096},
+            flavor_id=old_flavor
+        )
+
+        # This can cause the instance for boot from volume to be allowed to
+        # get to the resize verify status, but the instance's application runs
+        # abnormally due to insufficient memory, and it may be killed by OOM.
+        server = self._resize_server(server, new_flavor)
+        self.assertEqual(server['status'], 'VERIFY_RESIZE')