diff --git a/sdks/python/scripts/run_snapshot_publish.sh b/sdks/python/scripts/run_snapshot_publish.sh
index b6e10a94cdd3..6f5ce18a6e04 100755
--- a/sdks/python/scripts/run_snapshot_publish.sh
+++ b/sdks/python/scripts/run_snapshot_publish.sh
@@ -30,10 +30,10 @@ DEP_SNAPSHOT_FILE_NAME="beam-py-requirements-$time.txt"
 # and located under Gradle build directory.
 cd $WORKSPACE/sdks/python/build
 
-# Rename the file to be apache_beam-{VERSION}-{datetime}.tar.gz
-# Notice that the distribution name of beam has been normalized as "apache_beam"
-# since setuptools 69.3.0.
-for file in "apache_beam-$VERSION*.tar.gz"; do
+# Rename the file to be apache-beam-{VERSION}-{datetime}.tar.gz
+# Notice that the distribution name of beam will be "apache-beam" with
+# setuptools<69.3.0 or "apache_beam" with setuptools>=69.3.0.
+for file in "apache[-_]beam-$VERSION*.tar.gz"; do
   mv $file $SNAPSHOT
 done