diff --git a/.changeset/icy-turkeys-joke.md b/.changeset/icy-turkeys-joke.md
new file mode 100644
index 00000000..ba0d8f1f
--- /dev/null
+++ b/.changeset/icy-turkeys-joke.md
@@ -0,0 +1,5 @@
+---
+'@css-modules-kit/core': minor
+---
+
+feat!: remove `Cannot import module 'xxx'` error
diff --git a/packages/codegen/src/project.test.ts b/packages/codegen/src/project.test.ts
index 5963b58d..efce1dee 100644
--- a/packages/codegen/src/project.test.ts
+++ b/packages/codegen/src/project.test.ts
@@ -91,8 +91,10 @@ describe('addFile', () => {
     // - The check stage cache for files that indirectly import the added file should also be invalidated.
     const iff = await createIFF({
       'tsconfig.json': '{ "cmkOptions": { "enabled": true } }',
-      'src/b.module.css': '@import "./a.module.css";', // directly
-      'src/c.module.css': '@value a_1 from "./b.module.css";', // indirectly
+      'src/a.module.css': '',
+      'src/b.module.css': '@value a_1 from "./a.module.css";', // directly
+      'src/re-export.module.css': '@import "./a.module.css";',
+      'src/c.module.css': '@value a_1 from "./re-export.module.css";', // indirectly
     });
     const project = createProject({ project: iff.rootDir });
     expect(formatDiagnostics(project.getDiagnostics(), iff.rootDir)).toMatchInlineSnapshot(`
@@ -100,12 +102,12 @@ describe('addFile', () => {
         {
           "category": "error",
           "fileName": "<rootDir>/src/b.module.css",
-          "length": 14,
+          "length": 3,
           "start": {
-            "column": 10,
+            "column": 8,
             "line": 1,
           },
-          "text": "Cannot import module './a.module.css'",
+          "text": "Module './a.module.css' has no exported token 'a_1'.",
         },
         {
           "category": "error",
@@ -115,12 +117,12 @@ describe('addFile', () => {
             "column": 8,
             "line": 1,
           },
-          "text": "Module './b.module.css' has no exported token 'a_1'.",
+          "text": "Module './re-export.module.css' has no exported token 'a_1'.",
         },
       ]
     `);
     await writeFile(iff.join('src/a.module.css'), '@value a_1: red;');
-    project.addFile(iff.join('src/a.module.css'));
+    project.updateFile(iff.join('src/a.module.css'));
     expect(formatDiagnostics(project.getDiagnostics(), iff.rootDir)).toMatchInlineSnapshot(`[]`);
   });
   test('changes the resolution results of import specifiers in other files', async () => {
@@ -204,19 +206,19 @@ describe('updateFile', () => {
     `);
 
     // New semantic diagnostics are reported
-    await writeFile(iff.join('src/a.module.css'), `@import './non-existent.module.css';`);
+    await writeFile(iff.join('src/a.module.css'), `.a-1 {}`);
     project.updateFile(iff.join('src/a.module.css'));
     expect(formatDiagnostics(project.getDiagnostics(), iff.rootDir)).toMatchInlineSnapshot(`
       [
         {
           "category": "error",
           "fileName": "<rootDir>/src/a.module.css",
-          "length": 25,
+          "length": 3,
           "start": {
-            "column": 10,
+            "column": 2,
             "line": 1,
           },
-          "text": "Cannot import module './non-existent.module.css'",
+          "text": "css-modules-kit does not support invalid names as JavaScript identifiers.",
         },
       ]
     `);
@@ -311,8 +313,9 @@ describe('removeFile', () => {
     const iff = await createIFF({
       'tsconfig.json': '{ "cmkOptions": { "enabled": true } }',
       'src/a.module.css': '@value a_1: red;',
-      'src/b.module.css': '@import "./a.module.css";', // directly
-      'src/c.module.css': '@value a_1 from "./b.module.css";', // indirectly
+      'src/b.module.css': '@value a_1 from "./a.module.css";', // directly
+      'src/re-export.module.css': '@import "./a.module.css";',
+      'src/c.module.css': '@value a_1 from "./re-export.module.css";', // indirectly
     });
     const project = createProject({ project: iff.rootDir });
     expect(formatDiagnostics(project.getDiagnostics(), iff.rootDir)).toMatchInlineSnapshot(`[]`);
@@ -320,16 +323,6 @@ describe('removeFile', () => {
     project.removeFile(iff.join('src/a.module.css'));
     expect(formatDiagnostics(project.getDiagnostics(), iff.rootDir)).toMatchInlineSnapshot(`
       [
-        {
-          "category": "error",
-          "fileName": "<rootDir>/src/b.module.css",
-          "length": 14,
-          "start": {
-            "column": 10,
-            "line": 1,
-          },
-          "text": "Cannot import module './a.module.css'",
-        },
         {
           "category": "error",
           "fileName": "<rootDir>/src/c.module.css",
@@ -338,7 +331,7 @@ describe('removeFile', () => {
             "column": 8,
             "line": 1,
           },
-          "text": "Module './b.module.css' has no exported token 'a_1'.",
+          "text": "Module './re-export.module.css' has no exported token 'a_1'.",
         },
       ]
     `);
@@ -466,8 +459,8 @@ describe('getDiagnostics', () => {
   test('returns semantic diagnostics', async () => {
     const iff = await createIFF({
       'tsconfig.json': '{ "cmkOptions": { "enabled": true } }',
-      'src/a.module.css': `@import './non-existent-1.module.css';`,
-      'src/b.module.css': `@import './non-existent-2.module.css';`,
+      'src/a.module.css': `.a-1 {}`,
+      'src/b.module.css': `.b-1 {}`,
     });
     const project = createProject({ project: iff.rootDir });
     const diagnostics = project.getDiagnostics();
@@ -476,22 +469,22 @@ describe('getDiagnostics', () => {
         {
           "category": "error",
           "fileName": "<rootDir>/src/a.module.css",
-          "length": 27,
+          "length": 3,
           "start": {
-            "column": 10,
+            "column": 2,
             "line": 1,
           },
-          "text": "Cannot import module './non-existent-1.module.css'",
+          "text": "css-modules-kit does not support invalid names as JavaScript identifiers.",
         },
         {
           "category": "error",
           "fileName": "<rootDir>/src/b.module.css",
-          "length": 27,
+          "length": 3,
           "start": {
-            "column": 10,
+            "column": 2,
             "line": 1,
           },
-          "text": "Cannot import module './non-existent-2.module.css'",
+          "text": "css-modules-kit does not support invalid names as JavaScript identifiers.",
         },
       ]
     `);
diff --git a/packages/core/src/checker.test.ts b/packages/core/src/checker.test.ts
index b161624f..26749cac 100644
--- a/packages/core/src/checker.test.ts
+++ b/packages/core/src/checker.test.ts
@@ -285,59 +285,6 @@ describe('checkCSSModule', () => {
       ]
     `);
   });
-  test('report diagnostics for non-existing module', () => {
-    const args = prepareCheckerArgs([
-      fakeCSSModule({
-        fileName: '/a.module.css',
-        tokenImporters: [
-          fakeAtImportTokenImporter({ from: './b.module.css', fromLoc: fakeLoc({ column: 1 }) }),
-          fakeAtValueTokenImporter({
-            from: './c.module.css',
-            fromLoc: fakeLoc({ column: 2 }),
-            values: [fakeAtValueTokenImporterValue({ name: 'c_1', loc: fakeLoc({ column: 3 }) })],
-          }),
-        ],
-      }),
-    ]);
-    const diagnostics = checkCSSModule(
-      args.cssModules[0],
-      args.config,
-      args.exportBuilder,
-      args.matchesPattern,
-      args.resolver,
-      args.getCSSModule,
-    );
-    expect(diagnostics).toMatchInlineSnapshot(`
-      [
-        {
-          "category": "error",
-          "file": {
-            "fileName": "/a.module.css",
-            "text": "",
-          },
-          "length": 0,
-          "start": {
-            "column": 1,
-            "line": 1,
-          },
-          "text": "Cannot import module './b.module.css'",
-        },
-        {
-          "category": "error",
-          "file": {
-            "fileName": "/a.module.css",
-            "text": "",
-          },
-          "length": 0,
-          "start": {
-            "column": 2,
-            "line": 1,
-          },
-          "text": "Cannot import module './c.module.css'",
-        },
-      ]
-    `);
-  });
   test('report diagnostics for non-exported token', () => {
     const args = prepareCheckerArgs([
       fakeCSSModule({
diff --git a/packages/core/src/checker.ts b/packages/core/src/checker.ts
index d23cd89e..647e1173 100644
--- a/packages/core/src/checker.ts
+++ b/packages/core/src/checker.ts
@@ -8,7 +8,6 @@ import type {
   Location,
   MatchesPattern,
   Resolver,
-  TokenImporter,
 } from './type.js';
 import { isValidAsJSIdentifier } from './util.js';
 
@@ -40,10 +39,7 @@ export function checkCSSModule(
     const from = resolver(tokenImporter.from, { request: cssModule.fileName });
     if (!from || !matchesPattern(from)) continue;
     const imported = getCSSModule(from);
-    if (!imported) {
-      diagnostics.push(createCannotImportModuleDiagnostic(cssModule, tokenImporter));
-      continue;
-    }
+    if (!imported) continue;
 
     if (tokenImporter.type === 'value') {
       const exportRecord = exportBuilder.build(imported);
@@ -77,16 +73,6 @@ export function checkCSSModule(
   return diagnostics;
 }
 
-function createCannotImportModuleDiagnostic(cssModule: CSSModule, tokenImporter: TokenImporter): Diagnostic {
-  return {
-    text: `Cannot import module '${tokenImporter.from}'`,
-    category: 'error',
-    file: { fileName: cssModule.fileName, text: cssModule.text },
-    start: { line: tokenImporter.fromLoc.start.line, column: tokenImporter.fromLoc.start.column },
-    length: tokenImporter.fromLoc.end.offset - tokenImporter.fromLoc.start.offset,
-  };
-}
-
 function createModuleHasNoExportedTokenDiagnostic(
   cssModule: CSSModule,
   tokenImporter: AtValueTokenImporter,
diff --git a/packages/ts-plugin/e2e-test/feature/semantic-diagnostics.test.ts b/packages/ts-plugin/e2e-test/feature/semantic-diagnostics.test.ts
index 7b8f7ae2..ddd8cc12 100644
--- a/packages/ts-plugin/e2e-test/feature/semantic-diagnostics.test.ts
+++ b/packages/ts-plugin/e2e-test/feature/semantic-diagnostics.test.ts
@@ -79,20 +79,6 @@ test('Semantic Diagnostics', async () => {
         },
         "text": "Module './c.module.css' has no exported token 'c_3'.",
       },
-      {
-        "category": "error",
-        "code": 0,
-        "end": {
-          "line": 5,
-          "offset": 24,
-        },
-        "source": "css-modules-kit",
-        "start": {
-          "line": 5,
-          "offset": 10,
-        },
-        "text": "Cannot import module './d.module.css'",
-      },
     ]
   `);
 });