diff --git a/nova/virt/hyperv/driver.py b/nova/virt/hyperv/driver.py
index 6fd6710c3056..a8ec5c15db50 100644
--- a/nova/virt/hyperv/driver.py
+++ b/nova/virt/hyperv/driver.py
@@ -96,7 +96,7 @@ class HyperVDriver(driver.ComputeDriver):
     capabilities = {
         "has_imagecache": True,
         "supports_recreate": False,
-        "supports_migrate_to_same_host": True,
+        "supports_migrate_to_same_host": False,
         "supports_attach_interface": True,
         "supports_device_tagging": True,
     }
diff --git a/releasenotes/notes/bug-hyperv-1629040-e1eb35a7b31d9af8.yaml b/releasenotes/notes/bug-hyperv-1629040-e1eb35a7b31d9af8.yaml
new file mode 100644
index 000000000000..57b4fa9983a6
--- /dev/null
+++ b/releasenotes/notes/bug-hyperv-1629040-e1eb35a7b31d9af8.yaml
@@ -0,0 +1,5 @@
+---
+fixes:
+  - The Hyper-V driver no longer accepts cold migrating
+    instances to the same host. Note that this does not
+    apply to resizes, in which case this is still allowed.