diff --git a/airflow/providers/google/cloud/hooks/cloud_sql.py b/airflow/providers/google/cloud/hooks/cloud_sql.py
index b5225dea07acf..95f16fe9c19f2 100644
--- a/airflow/providers/google/cloud/hooks/cloud_sql.py
+++ b/airflow/providers/google/cloud/hooks/cloud_sql.py
@@ -452,6 +452,8 @@ def _download_sql_proxy_if_needed(self) -> None:
             return
         system = platform.system().lower()
         processor = os.uname().machine
+        if processor == "x86_64":
+            processor = "amd64"
         if not self.sql_proxy_version:
             download_url = CLOUD_SQL_PROXY_DOWNLOAD_URL.format(system, processor)
         else: