diff --git a/CHANGELOG.md b/CHANGELOG.md
index 88d7c411f..cf11927c7 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -10,6 +10,7 @@ This change log adheres to standards from [Keep a CHANGELOG](https://keepachange
 - `importType`: avoid crashing on a non-string' ([#2305], thanks [@ljharb])
 - [`first`]: prevent crash when parsing angular templates ([#2210], thanks [@ljharb])
 - `importType`: properly resolve `@/*`-aliased imports as internal ([#2334], thanks [@ombene])
+- [`named`]/`ExportMap`: handle named imports from CJS modules that use dynamic import ([#2341], thanks [@ludofischer])
 
 ### Changed
 - [`no-default-import`]: report on the token "default" instead of the entire node ([#2299], thanks [@pmcelhaney])
@@ -951,6 +952,7 @@ for info on changes for earlier releases.
 
 [`memo-parser`]: ./memo-parser/README.md
 
+[#2341]: https://github.com/import-js/eslint-plugin-import/pull/2341
 [#2334]: https://github.com/import-js/eslint-plugin-import/pull/2334
 [#2305]: https://github.com/import-js/eslint-plugin-import/pull/2305
 [#2299]: https://github.com/import-js/eslint-plugin-import/pull/2299
@@ -1549,6 +1551,7 @@ for info on changes for earlier releases.
 [@lo1tuma]: https://github.com/lo1tuma
 [@loganfsmyth]: https://github.com/loganfsmyth
 [@luczsoma]: https://github.com/luczsoma
+[@ludofischer]: https://github.com/ludofischer
 [@lukeapage]: https://github.com/lukeapage
 [@lydell]: https://github.com/lydell
 [@Mairu]: https://github.com/Mairu
diff --git a/src/ExportMap.js b/src/ExportMap.js
index d818fa6ca..564b5d63d 100644
--- a/src/ExportMap.js
+++ b/src/ExportMap.js
@@ -43,6 +43,10 @@ export default class ExportMap {
      */
     this.imports = new Map();
     this.errors = [];
+    /**
+     * type {'ambiguous' | 'Module' | 'Script'}
+     */
+    this.parseGoal = 'ambiguous';
   }
 
   get hasDefault() { return this.get('default') != null; } // stronger than this.has
@@ -406,7 +410,8 @@ ExportMap.parse = function (path, content, context) {
     },
   });
 
-  if (!unambiguous.isModule(ast) && !hasDynamicImports) return null;
+  const unambiguouslyESM = unambiguous.isModule(ast);
+  if (!unambiguouslyESM && !hasDynamicImports) return null;
 
   const docstyle = (context.settings && context.settings['import/docstyle']) || ['jsdoc'];
   const docStyleParsers = {};
@@ -710,6 +715,9 @@ ExportMap.parse = function (path, content, context) {
     m.namespace.set('default', {}); // add default export
   }
 
+  if (unambiguouslyESM) {
+    m.parseGoal = 'Module';
+  }
   return m;
 };
 
diff --git a/src/rules/named.js b/src/rules/named.js
index 24e6bc0ac..a529c295b 100644
--- a/src/rules/named.js
+++ b/src/rules/named.js
@@ -40,7 +40,7 @@ module.exports = {
       }
 
       const imports = Exports.get(node.source.value, context);
-      if (imports == null) {
+      if (imports == null || imports.parseGoal === 'ambiguous') {
         return;
       }
 
@@ -97,6 +97,7 @@ module.exports = {
         // return if it's not a string source
         || source.type !== 'Literal'
         || variableExports == null
+        || variableExports.parseGoal === 'ambiguous'
       ) {
         return;
       }
diff --git a/tests/files/dynamic-import-in-commonjs.js b/tests/files/dynamic-import-in-commonjs.js
new file mode 100644
index 000000000..259feb4cd
--- /dev/null
+++ b/tests/files/dynamic-import-in-commonjs.js
@@ -0,0 +1,5 @@
+async function doSomething() {
+  await import('./bar.js');
+}
+
+exports.something = 'hello';
diff --git a/tests/src/rules/named.js b/tests/src/rules/named.js
index 992baa0fd..10ba76b79 100644
--- a/tests/src/rules/named.js
+++ b/tests/src/rules/named.js
@@ -190,7 +190,16 @@ ruleTester.run('named', rule, {
         sourceType: 'module',
         ecmaVersion: 2020,
       },
-    })) || []),
+    })),
+
+    testVersion('>=7.8.0', () =>({ code: 'const { something } = require("./dynamic-import-in-commonjs")',
+      parserOptions: { ecmaVersion: 2021 },
+      options: [{ commonjs: true }],
+    })),
+
+    testVersion('>=7.8.0', () => ({ code: 'import { something } from "./dynamic-import-in-commonjs"',
+      parserOptions: { ecmaVersion: 2021 } })),
+    ),
   ],
 
   invalid: [