diff --git a/packages/babel-preset-env/test/fixtures/corejs2/usage-remove-babel-polyfill-import/options.json b/packages/babel-preset-env/test/fixtures/corejs2/usage-remove-babel-polyfill-import/options.json
index fe3e4d6cf9..71b68e4379 100644
--- a/packages/babel-preset-env/test/fixtures/corejs2/usage-remove-babel-polyfill-import/options.json
+++ b/packages/babel-preset-env/test/fixtures/corejs2/usage-remove-babel-polyfill-import/options.json
@@ -1,4 +1,5 @@
 {
+  "validateLogs": true,
   "presets": [
     [
       "../../../../lib",
diff --git a/packages/babel-preset-env/test/fixtures/corejs2/usage-remove-babel-polyfill-import/stderr.txt b/packages/babel-preset-env/test/fixtures/corejs2/usage-remove-babel-polyfill-import/stderr.txt
new file mode 100644
index 0000000000..6234fa8745
--- /dev/null
+++ b/packages/babel-preset-env/test/fixtures/corejs2/usage-remove-babel-polyfill-import/stderr.txt
@@ -0,0 +1,11 @@
+When setting `useBuiltIns: 'usage'`, polyfills are automatically imported when needed.
+  Please remove the `import '@babel/polyfill'` call or use `useBuiltIns: 'entry'` instead.
+
+  When setting `useBuiltIns: 'usage'`, polyfills are automatically imported when needed.
+  Please remove the `import '@babel/polyfill'` call or use `useBuiltIns: 'entry'` instead.
+
+  When setting `useBuiltIns: 'usage'`, polyfills are automatically imported when needed.
+  Please remove the `import '@babel/polyfill'` call or use `useBuiltIns: 'entry'` instead.
+
+  When setting `useBuiltIns: 'usage'`, polyfills are automatically imported when needed.
+  Please remove the `import '@babel/polyfill'` call or use `useBuiltIns: 'entry'` instead.
diff --git a/packages/babel-preset-env/test/fixtures/corejs3/entry-babel-polyfill/options.json b/packages/babel-preset-env/test/fixtures/corejs3/entry-babel-polyfill/options.json
index fe930890ee..1b870fc522 100644
--- a/packages/babel-preset-env/test/fixtures/corejs3/entry-babel-polyfill/options.json
+++ b/packages/babel-preset-env/test/fixtures/corejs3/entry-babel-polyfill/options.json
@@ -1,4 +1,5 @@
 {
+  "validateLogs": true,
   "presets": [
     [
       "../../../../lib",
diff --git a/packages/babel-preset-env/test/fixtures/corejs3/entry-babel-polyfill/stderr.txt b/packages/babel-preset-env/test/fixtures/corejs3/entry-babel-polyfill/stderr.txt
new file mode 100644
index 0000000000..228f1a0528
--- /dev/null
+++ b/packages/babel-preset-env/test/fixtures/corejs3/entry-babel-polyfill/stderr.txt
@@ -0,0 +1,2 @@
+`@babel/polyfill` is deprecated. Please, use required parts of `core-js`
+  and `regenerator-runtime/runtime` separately
\ No newline at end of file
diff --git a/packages/babel-preset-env/test/fixtures/corejs3/entry-require-babel-polyfill/options.json b/packages/babel-preset-env/test/fixtures/corejs3/entry-require-babel-polyfill/options.json
index bc7cfa8eb2..fc08c03675 100644
--- a/packages/babel-preset-env/test/fixtures/corejs3/entry-require-babel-polyfill/options.json
+++ b/packages/babel-preset-env/test/fixtures/corejs3/entry-require-babel-polyfill/options.json
@@ -1,4 +1,5 @@
 {
+  "validateLogs": true,
   "presets": [
     [
       "../../../../lib",
diff --git a/packages/babel-preset-env/test/fixtures/corejs3/entry-require-babel-polyfill/stderr.txt b/packages/babel-preset-env/test/fixtures/corejs3/entry-require-babel-polyfill/stderr.txt
new file mode 100644
index 0000000000..eaf553660f
--- /dev/null
+++ b/packages/babel-preset-env/test/fixtures/corejs3/entry-require-babel-polyfill/stderr.txt
@@ -0,0 +1,2 @@
+`@babel/polyfill` is deprecated. Please, use required parts of `core-js`
+  and `regenerator-runtime/runtime` separately
diff --git a/packages/babel-preset-env/test/fixtures/modules/auto-esm/options.json b/packages/babel-preset-env/test/fixtures/modules/auto-esm/options.json
index c4294fee0e..154ea41990 100644
--- a/packages/babel-preset-env/test/fixtures/modules/auto-esm/options.json
+++ b/packages/babel-preset-env/test/fixtures/modules/auto-esm/options.json
@@ -1,7 +1,8 @@
 {
   "caller": {
     "name": "test-fixture",
-    "supportsStaticESM": true
+    "supportsStaticESM": true,
+    "supportsDynamicImport": true
   },
   "presets": ["env"]
 }
diff --git a/packages/babel-preset-env/test/fixtures/modules/modules-umd/options.json b/packages/babel-preset-env/test/fixtures/modules/modules-umd/options.json
index 18b39b6fa2..d4838a7e7e 100644
--- a/packages/babel-preset-env/test/fixtures/modules/modules-umd/options.json
+++ b/packages/babel-preset-env/test/fixtures/modules/modules-umd/options.json
@@ -1,4 +1,5 @@
 {
+  "validateLogs": true,
   "presets": [
     [
       "../../../../lib",
diff --git a/packages/babel-preset-env/test/fixtures/modules/modules-umd/stderr.txt b/packages/babel-preset-env/test/fixtures/modules/modules-umd/stderr.txt
new file mode 100644
index 0000000000..f3e3df4708
--- /dev/null
+++ b/packages/babel-preset-env/test/fixtures/modules/modules-umd/stderr.txt
@@ -0,0 +1 @@
+Dynamic import can only be supported when transforming ES modules to AMD, CommonJS or SystemJS. Only the parser plugin will be enabled.