diff --git a/packages/@vue/cli-plugin-eslint/package.json b/packages/@vue/cli-plugin-eslint/package.json
index 2b04357631..fd2911655a 100644
--- a/packages/@vue/cli-plugin-eslint/package.json
+++ b/packages/@vue/cli-plugin-eslint/package.json
@@ -32,6 +32,6 @@
   },
   "peerDependencies": {
     "@vue/cli-service": "^3.0.0 || ^4.0.0-0",
-    "eslint": ">= 1.6.0"
+    "eslint": ">= 1.6.0 < 7.0.0"
   }
 }