diff --git a/lib/plugins/package/lib/zipService.js b/lib/plugins/package/lib/zipService.js
index f746eb308..26e056d4d 100644
--- a/lib/plugins/package/lib/zipService.js
+++ b/lib/plugins/package/lib/zipService.js
@@ -33,8 +33,7 @@ module.exports = {
     ]);
 
     const include = this.serverless.service.package.include || [];
-    const timeString = (new Date()).getTime().toString();
-    const zipFileName = `${this.serverless.service.service}-${timeString}.zip`;
+    const zipFileName = `${this.serverless.service.service}.zip`;
 
     this.serverless.utils.walkDirSync(servicePath).forEach((filePath) => {
       const relativeFilePath = path.relative(servicePath, filePath);