diff --git a/rules/no-anonymous-default-export.js b/rules/no-anonymous-default-export.js
index f520801af5..8195ec7796 100644
--- a/rules/no-anonymous-default-export.js
+++ b/rules/no-anonymous-default-export.js
@@ -50,7 +50,7 @@ function getSuggestionName(node, filename, sourceCode) {
 		return;
 	}
 
-	name = node.type === 'ClassDeclaration' ? upperFirst(name) : name;
+	name = node.type === 'ClassDeclaration' || node.type === 'ClassExpression' ? upperFirst(name) : name;
 	name = avoidCapture(name, getScopes(sourceCode.getScope(node)));
 
 	return name;
diff --git a/test/snapshots/no-anonymous-default-export.mjs.md b/test/snapshots/no-anonymous-default-export.mjs.md
index d016aec97d..ac7848ef7a 100644
--- a/test/snapshots/no-anonymous-default-export.mjs.md
+++ b/test/snapshots/no-anonymous-default-export.mjs.md
@@ -506,9 +506,9 @@ Generated by [AVA](https://avajs.dev).
         |                 ^^^^^ The class should be named.␊
     ␊
     --------------------------------------------------------------------------------␊
-    Suggestion 1/1: Name it as \`foo__\`.␊
+    Suggestion 1/1: Name it as \`Foo__\`.␊
       1 | let Foo, Foo_, foo, foo_␊
-      2 | export default (class foo__{})␊
+      2 | export default (class Foo__{})␊
     `
 
 ## invalid(24): export default (class extends class {} {})
@@ -532,8 +532,8 @@ Generated by [AVA](https://avajs.dev).
         |                 ^^^^^^^^^^^^^^^^^^^^^^ The class should be named.␊
     ␊
     --------------------------------------------------------------------------------␊
-    Suggestion 1/1: Name it as \`foo\`.␊
-      1 | export default (class foo extends class {} {})␊
+    Suggestion 1/1: Name it as \`Foo\`.␊
+      1 | export default (class Foo extends class {} {})␊
     `
 
 ## invalid(25): let Exports, Exports_, exports, exports_ exports = class {}
@@ -559,9 +559,9 @@ Generated by [AVA](https://avajs.dev).
         |           ^^^^^ The class should be named.␊
     ␊
     --------------------------------------------------------------------------------␊
-    Suggestion 1/1: Name it as \`exports__\`.␊
+    Suggestion 1/1: Name it as \`Exports__\`.␊
       1 | let Exports, Exports_, exports, exports_␊
-      2 | exports = class exports__ {}␊
+      2 | exports = class Exports__ {}␊
     `
 
 ## invalid(26): module.exports = class {}
@@ -585,8 +585,8 @@ Generated by [AVA](https://avajs.dev).
         |                  ^^^^^ The class should be named.␊
     ␊
     --------------------------------------------------------------------------------␊
-    Suggestion 1/1: Name it as \`module_\`.␊
-      1 | module.exports = class module_ {}␊
+    Suggestion 1/1: Name it as \`Module\`.␊
+      1 | module.exports = class Module {}␊
     `
 
 ## invalid(27): export default function () {}
@@ -1405,8 +1405,8 @@ Generated by [AVA](https://avajs.dev).
         |                  ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ The class should be named.␊
     ␊
     --------------------------------------------------------------------------------␊
-    Suggestion 1/1: Name it as \`foo\`.␊
-      1 | module.exports = @decorator(class {}) class foo extends class {} {}␊
+    Suggestion 1/1: Name it as \`Foo\`.␊
+      1 | module.exports = @decorator(class {}) class Foo extends class {} {}␊
     `
 
 ## invalid(4): @decorator @decorator(class {}) export default class {}
diff --git a/test/snapshots/no-anonymous-default-export.mjs.snap b/test/snapshots/no-anonymous-default-export.mjs.snap
index 5d4237c13a..86dcd70aca 100644
Binary files a/test/snapshots/no-anonymous-default-export.mjs.snap and b/test/snapshots/no-anonymous-default-export.mjs.snap differ