diff --git a/eslint/babel-eslint-parser/package.json b/eslint/babel-eslint-parser/package.json
index 90eb98e74e..7b37cfeeb7 100644
--- a/eslint/babel-eslint-parser/package.json
+++ b/eslint/babel-eslint-parser/package.json
@@ -15,7 +15,7 @@
     "babel-code-frame": "7.0.0-alpha.12",
     "babel-traverse": "7.0.0-alpha.12",
     "babel-types": "7.0.0-alpha.12",
-    "babylon": "7.0.0-beta.13"
+    "babylon": "7.0.0-beta.14"
   },
   "scripts": {
     "test": "npm run lint && npm run test-only",
diff --git a/eslint/babel-eslint-parser/test/non-regression.js b/eslint/babel-eslint-parser/test/non-regression.js
index f382801f22..a260f94eee 100644
--- a/eslint/babel-eslint-parser/test/non-regression.js
+++ b/eslint/babel-eslint-parser/test/non-regression.js
@@ -1780,4 +1780,19 @@ describe("verify", () => {
       );
     });
   });
+
+  it("flow types on class method should be visited correctly", () => {
+    verifyAndAssertMessages(
+      unpad(`
+        import type NodeType from 'foo';
+        class NodeUtils {
+          finishNodeAt<T : NodeType>(node: T): T { return node; }
+        }
+
+        new NodeUtils();
+      `),
+      { "no-unused-vars": 1 },
+      []
+    );
+  });
 });
diff --git a/eslint/babel-eslint-parser/yarn.lock b/eslint/babel-eslint-parser/yarn.lock
index e2c2031622..5e82ccbab5 100644
--- a/eslint/babel-eslint-parser/yarn.lock
+++ b/eslint/babel-eslint-parser/yarn.lock
@@ -212,9 +212,9 @@ babylon@7.0.0-beta.12:
   version "7.0.0-beta.12"
   resolved "https://registry.yarnpkg.com/babylon/-/babylon-7.0.0-beta.12.tgz#f7b9c8a89ff7d6afb57b906d947a4237f9bf53f9"
 
-babylon@7.0.0-beta.13:
-  version "7.0.0-beta.13"
-  resolved "https://registry.yarnpkg.com/babylon/-/babylon-7.0.0-beta.13.tgz#12425c1bfd9498be419021ed36b43fe4f0289c0a"
+babylon@7.0.0-beta.14:
+  version "7.0.0-beta.14"
+  resolved "https://registry.yarnpkg.com/babylon/-/babylon-7.0.0-beta.14.tgz#72aa3c493c984c2edc54d4bc077b74066ed4511d"
 
 babylon@7.0.0-beta.8:
   version "7.0.0-beta.8"