diff --git a/package.json b/package.json
index fb9f0e9cd77062..75674030faed92 100644
--- a/package.json
+++ b/package.json
@@ -930,7 +930,7 @@
     "compare-versions": "3.5.1",
     "constate": "^3.3.2",
     "copy-to-clipboard": "^3.0.8",
-    "core-js": "^3.34.0",
+    "core-js": "^3.36.0",
     "cronstrue": "^1.51.0",
     "css-box-model": "^1.2.1",
     "css.escape": "^1.5.1",
@@ -1684,7 +1684,7 @@
     "val-loader": "^1.1.1",
     "vinyl-fs": "^4.0.0",
     "watchpack": "^1.6.0",
-    "web-streams-polyfill": "^3.2.1",
+    "web-streams-polyfill": "^4.0.0",
     "webpack": "^4.41.5",
     "webpack-bundle-analyzer": "^4.5.0",
     "webpack-cli": "^4.10.0",
diff --git a/packages/kbn-test/src/jest/setup/setup_test.js b/packages/kbn-test/src/jest/setup/setup_test.js
index ee386f894a71e8..5179c350b2f8e5 100644
--- a/packages/kbn-test/src/jest/setup/setup_test.js
+++ b/packages/kbn-test/src/jest/setup/setup_test.js
@@ -13,7 +13,10 @@
 
 import 'jest-styled-components';
 import '@testing-library/jest-dom';
-import 'web-streams-polyfill/es6'; // ReadableStream polyfill
+
+// uses subpath exports
+// eslint-disable-next-line @kbn/imports/no_unresolvable_imports
+import 'web-streams-polyfill/polyfill'; // ReadableStream polyfill
 
 /**
  * Removed in Jest 27/jsdom, used in some transitive dependencies
diff --git a/yarn.lock b/yarn.lock
index 86a6ff8155a0ee..1104ad74b73089 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -13975,10 +13975,10 @@ core-js@^2.4.0, core-js@^2.5.0, core-js@^2.6.9:
   resolved "https://registry.yarnpkg.com/core-js/-/core-js-2.6.9.tgz#6b4b214620c834152e179323727fc19741b084f2"
   integrity sha512-HOpZf6eXmnl7la+cUdMnLvUxKNqLUzJvgIziQ0DiF3JwSImNphIqdGqzj6hIKyX04MmV0poclQ7+wjWvxQyR2A==
 
-core-js@^3.0.4, core-js@^3.32.1, core-js@^3.34.0, core-js@^3.6.5, core-js@^3.8.2, core-js@^3.8.3:
-  version "3.35.0"
-  resolved "https://registry.yarnpkg.com/core-js/-/core-js-3.35.0.tgz#58e651688484f83c34196ca13f099574ee53d6b4"
-  integrity sha512-ntakECeqg81KqMueeGJ79Q5ZgQNR+6eaE8sxGCx62zMbAIj65q+uYvatToew3m6eAGdU4gNZwpZ34NMe4GYswg==
+core-js@^3.0.4, core-js@^3.32.1, core-js@^3.36.0, core-js@^3.6.5, core-js@^3.8.2, core-js@^3.8.3:
+  version "3.36.0"
+  resolved "https://registry.yarnpkg.com/core-js/-/core-js-3.36.0.tgz#e752fa0b0b462a0787d56e9d73f80b0f7c0dde68"
+  integrity sha512-mt7+TUBbTFg5+GngsAxeKBTl5/VS0guFeJacYge9OmHb+m058UwwIm41SE9T4Den7ClatV57B6TYTuJ0CX1MAw==
 
 core-util-is@1.0.2, core-util-is@^1.0.2, core-util-is@~1.0.0:
   version "1.0.2"
@@ -31350,6 +31350,11 @@ web-streams-polyfill@^3.0.3, web-streams-polyfill@^3.2.0, web-streams-polyfill@^
   resolved "https://registry.yarnpkg.com/web-streams-polyfill/-/web-streams-polyfill-3.2.1.tgz#71c2718c52b45fd49dbeee88634b3a60ceab42a6"
   integrity sha512-e0MO3wdXWKrLbL0DgGnUV7WHVuw9OUvL4hjgnPkIeEvESk74gAITi5G606JtZPp39cd8HA9VQzCIvA49LpPN5Q==
 
+web-streams-polyfill@^4.0.0:
+  version "4.0.0"
+  resolved "https://registry.yarnpkg.com/web-streams-polyfill/-/web-streams-polyfill-4.0.0.tgz#74cedf168339ee6e709532f76c49313a8c7acdac"
+  integrity sha512-0zJXHRAYEjM2tUfZ2DiSOHAa2aw1tisnnhU3ufD57R8iefL+DcdJyRBRyJpG+NUimDgbTI/lH+gAE1PAvV3Cgw==
+
 web-streams-polyfill@~3.0.3:
   version "3.0.3"
   resolved "https://registry.yarnpkg.com/web-streams-polyfill/-/web-streams-polyfill-3.0.3.tgz#f49e487eedeca47a207c1aee41ee5578f884b42f"