diff --git a/packages/polyfills/CHANGELOG.md b/packages/polyfills/CHANGELOG.md
index 901ff4c255..5b52dee4af 100644
--- a/packages/polyfills/CHANGELOG.md
+++ b/packages/polyfills/CHANGELOG.md
@@ -7,6 +7,15 @@ and adheres to [Semantic Versioning](http://semver.org/spec/v2.0.0.html).
 
 ## [Unreleased]
 
+## Breaking change
+
+- Removed the deprecated dependency `@babel/polyfill` and move to `core-js@^3.0.0`.
+- Removed the `@shopify/polyfill/url` polyfill since it's automatically provided with `core-js`.
+
+**Note**: This new version need at least `sewing-kit@^0.120.0`.
+
+## [1.1.7] - 2020-01-31
+
 - Update `package.json` published `files` patterns. [#1233](https://github.com/Shopify/quilt/pull/1233)
 
 ## [1.1.5] - 2019-11-25
diff --git a/packages/polyfills/package.json b/packages/polyfills/package.json
index 71ef79f15e..0386c1c77f 100644
--- a/packages/polyfills/package.json
+++ b/packages/polyfills/package.json
@@ -24,17 +24,17 @@
   },
   "homepage": "https://github.com/Shopify/quilt/blob/master/packages/polyfills/README.md",
   "dependencies": {
-    "@babel/polyfill": "^7.0.0",
     "@shopify/useful-types": "^2.1.4",
     "browser-unhandled-rejection": "^1.0.2",
     "caniuse-api": "^3.0.0",
+    "core-js": "^3.6.4",
     "formdata-polyfill": "^3.0.18",
     "intersection-observer": "^0.5.1",
     "intl-pluralrules": "^0.2.1",
     "mutationobserver-shim": "^0.3.3",
     "node-fetch": "^2.3.0",
+    "regenerator-runtime": "^0.13.5",
     "tslib": "^1.9.3",
-    "url-polyfill": "^1.1.7",
     "whatwg-fetch": "^3.0.0"
   },
   "devDependencies": {
diff --git a/packages/polyfills/src/base.ts b/packages/polyfills/src/base.ts
index c7c823054d..34bd72ce1c 100644
--- a/packages/polyfills/src/base.ts
+++ b/packages/polyfills/src/base.ts
@@ -1 +1,2 @@
-require('@babel/polyfill');
+import 'core-js/stable';
+import 'regenerator-runtime/runtime';
diff --git a/packages/polyfills/src/url.browser.ts b/packages/polyfills/src/url.browser.ts
deleted file mode 100644
index 2a6ee1d723..0000000000
--- a/packages/polyfills/src/url.browser.ts
+++ /dev/null
@@ -1 +0,0 @@
-require('url-polyfill');
diff --git a/packages/polyfills/src/url.jest.ts b/packages/polyfills/src/url.jest.ts
deleted file mode 100644
index 50f51015a5..0000000000
--- a/packages/polyfills/src/url.jest.ts
+++ /dev/null
@@ -1 +0,0 @@
-// URL and URLSearchParams available as globals by default.
diff --git a/packages/polyfills/src/url.node.ts b/packages/polyfills/src/url.node.ts
deleted file mode 100644
index 50f51015a5..0000000000
--- a/packages/polyfills/src/url.node.ts
+++ /dev/null
@@ -1 +0,0 @@
-// URL and URLSearchParams available as globals by default.
diff --git a/yarn.lock b/yarn.lock
index 933f77ec0c..f0debbb790 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -765,14 +765,6 @@
     "@babel/helper-regex" "^7.4.4"
     regexpu-core "^4.6.0"
 
-"@babel/polyfill@^7.0.0":
-  version "7.6.0"
-  resolved "https://registry.yarnpkg.com/@babel/polyfill/-/polyfill-7.6.0.tgz#6d89203f8b6cd323e8d946e47774ea35dc0619cc"
-  integrity sha512-q5BZJI0n/B10VaQQvln1IlDK3BTBJFbADx7tv+oXDPIDZuTo37H5Adb9jhlXm/fEN4Y7/64qD9mnrJJG7rmaTw==
-  dependencies:
-    core-js "^2.6.5"
-    regenerator-runtime "^0.13.2"
-
 "@babel/preset-env@^7.4.3":
   version "7.6.3"
   resolved "https://registry.yarnpkg.com/@babel/preset-env/-/preset-env-7.6.3.tgz#9e1bf05a2e2d687036d24c40e4639dc46cef2271"
@@ -3552,15 +3544,15 @@ core-js@^1.0.0:
   resolved "https://registry.yarnpkg.com/core-js/-/core-js-1.2.7.tgz#652294c14651db28fa93bd2d5ff2983a4f08c636"
   integrity sha1-ZSKUwUZR2yj6k70tX/KYOk8IxjY=
 
-core-js@^2.0.0, core-js@^2.4.0, core-js@^2.5.0, core-js@^2.6.5:
+core-js@^2.0.0, core-js@^2.4.0, core-js@^2.5.0:
   version "2.6.10"
   resolved "https://registry.yarnpkg.com/core-js/-/core-js-2.6.10.tgz#8a5b8391f8cc7013da703411ce5b585706300d7f"
   integrity sha512-I39t74+4t+zau64EN1fE5v2W31Adtc/REhzWN+gWRRXg6WH5qAsZm62DHpQ1+Yhe4047T55jvzz7MUqF/dBBlA==
 
-core-js@^3.0.1, core-js@^3.1.4:
-  version "3.3.2"
-  resolved "https://registry.yarnpkg.com/core-js/-/core-js-3.3.2.tgz#cd42da1d7b0bb33ef11326be3a721934277ceb42"
-  integrity sha512-S1FfZpeBchkhyoY76YAdFzKS4zz9aOK7EeFaNA2aJlyXyA+sgqz6xdxmLPGXEAf0nF44MVN1kSjrA9Kt3ATDQg==
+core-js@^3.0.1, core-js@^3.1.4, core-js@^3.6.4:
+  version "3.6.4"
+  resolved "https://registry.yarnpkg.com/core-js/-/core-js-3.6.4.tgz#440a83536b458114b9cb2ac1580ba377dc470647"
+  integrity sha512-4paDGScNgZP2IXXilaffL9X7968RuvwlkK3xWtZRVqgd8SYNiVKRJvkFd1aqqEuPfN7E68ZHEp9hDj6lHj4Hyw==
 
 core-util-is@1.0.2, core-util-is@~1.0.0:
   version "1.0.2"
@@ -9237,6 +9229,11 @@ regenerator-runtime@^0.13.2:
   resolved "https://registry.yarnpkg.com/regenerator-runtime/-/regenerator-runtime-0.13.3.tgz#7cf6a77d8f5c6f60eb73c5fc1955b2ceb01e6bf5"
   integrity sha512-naKIZz2GQ8JWh///G7L3X6LaQUAMp2lvb1rvwwsURe/VXwD6VMfr+/1NuNw3ag8v2kY1aQ/go5SNn79O9JU7yw==
 
+regenerator-runtime@^0.13.5:
+  version "0.13.5"
+  resolved "https://registry.yarnpkg.com/regenerator-runtime/-/regenerator-runtime-0.13.5.tgz#d878a1d094b4306d10b9096484b33ebd55e26697"
+  integrity sha512-ZS5w8CpKFinUzOwW3c83oPeVXoNsrLsaCoLtJvAClH135j/R77RuymhiSErhm2lKcwSCIpmvIWSbDkIfAqKQlA==
+
 regenerator-transform@^0.14.0:
   version "0.14.1"
   resolved "https://registry.yarnpkg.com/regenerator-transform/-/regenerator-transform-0.14.1.tgz#3b2fce4e1ab7732c08f665dfdb314749c7ddd2fb"
@@ -10782,11 +10779,6 @@ url-parse-lax@^1.0.0:
   dependencies:
     prepend-http "^1.0.1"
 
-url-polyfill@^1.1.7:
-  version "1.1.7"
-  resolved "https://registry.yarnpkg.com/url-polyfill/-/url-polyfill-1.1.7.tgz#402ee84360eb549bbeb585f4c7971e79a31de9e3"
-  integrity sha512-ZrAxYWCREjmMtL8gSbSiKKLZZticgihCvVBtrFbUVpyoETt8GQJeG2okMWA8XryDAaHMjJfhnc+rnhXRbI4DXA==
-
 url@^0.11.0:
   version "0.11.0"
   resolved "https://registry.yarnpkg.com/url/-/url-0.11.0.tgz#3838e97cfc60521eb73c525a8e55bfdd9e2e28f1"