diff --git a/discord/webhook/async_.py b/discord/webhook/async_.py
index f9b03193a..b8ff4993e 100644
--- a/discord/webhook/async_.py
+++ b/discord/webhook/async_.py
@@ -1511,8 +1511,7 @@ class Webhook(BaseWebhook):
                 proxy_auth=self.proxy_auth,
                 reason=reason,
             )
-
-        if prefer_auth and self.auth_token:
+        elif prefer_auth and self.auth_token:
             data = await adapter.edit_webhook(
                 self.id,
                 self.auth_token,
diff --git a/discord/webhook/sync.py b/discord/webhook/sync.py
index 71564a58d..982f94a93 100644
--- a/discord/webhook/sync.py
+++ b/discord/webhook/sync.py
@@ -835,8 +835,7 @@ class SyncWebhook(BaseWebhook):
 
             payload['channel_id'] = channel.id
             data = adapter.edit_webhook(self.id, self.auth_token, payload=payload, session=self.session, reason=reason)
-
-        if prefer_auth and self.auth_token:
+        elif prefer_auth and self.auth_token:
             data = adapter.edit_webhook(self.id, self.auth_token, payload=payload, session=self.session, reason=reason)
         elif self.token:
             data = adapter.edit_webhook_with_token(self.id, self.token, payload=payload, session=self.session, reason=reason)