diff --git a/package.json b/package.json
index 1e1c402092..29428c5e88 100644
--- a/package.json
+++ b/package.json
@@ -60,7 +60,7 @@
     "prettier": "^1.19.1",
     "pump": "^3.0.0",
     "rimraf": "^2.6.3",
-    "rollup": "^1.32.1",
+    "rollup": "1.27.9",
     "rollup-plugin-babel": "^4.4.0",
     "rollup-plugin-commonjs": "^10.1.0",
     "rollup-plugin-node-builtins": "^2.1.2",
diff --git a/packages/babel-standalone/test/babel.js b/packages/babel-standalone/test/babel.js
index 20dbe7606d..b4c4f05ed0 100644
--- a/packages/babel-standalone/test/babel.js
+++ b/packages/babel-standalone/test/babel.js
@@ -196,5 +196,13 @@
 }`);
       });
     });
+
+    describe("regressions", () => {
+      it("#11534 - supports quantifiers in unicode regexps", () => {
+        expect(() =>
+          Babel.transform("/a*/u", { presets: ["es2015"] }),
+        ).not.toThrow();
+      });
+    });
   },
 );
diff --git a/yarn.lock b/yarn.lock
index 4adca90ec0..ebd03507a7 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -9188,10 +9188,10 @@ rollup-pluginutils@^2.3.1, rollup-pluginutils@^2.5.0, rollup-pluginutils@^2.6.0,
   dependencies:
     estree-walker "^0.6.1"
 
-rollup@^1.32.1:
-  version "1.32.1"
-  resolved "https://registry.yarnpkg.com/rollup/-/rollup-1.32.1.tgz#4480e52d9d9e2ae4b46ba0d9ddeaf3163940f9c4"
-  integrity sha512-/2HA0Ec70TvQnXdzynFffkjA6XN+1e2pEv/uKS5Ulca40g2L7KuOE3riasHoNVHOsFD5KKZgDsMk1CP3Tw9s+A==
+rollup@1.27.9:
+  version "1.27.9"
+  resolved "https://registry.yarnpkg.com/rollup/-/rollup-1.27.9.tgz#742f1234c1fa935f35149a433807da675b10f9a6"
+  integrity sha512-8AfW4cJTPZfG6EXWwT/ujL4owUsDI1Xl8J1t+hvK4wDX81F5I4IbwP9gvGbHzxnV19fnU4rRABZQwZSX9J402Q==
   dependencies:
     "@types/estree" "*"
     "@types/node" "*"