diff --git a/CHANGELOG.md b/CHANGELOG.md
index 59bcfb4be3..ddba3b5fcd 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -6,6 +6,9 @@ This change log adheres to standards from [Keep a CHANGELOG](http://keepachangel
 
 ## [Unreleased]
 
+### Added
+- [`no-unresolved`]: add `caseSensitiveStrict` option ([#1262], thanks [@sergei-startsev])
+
 ## [2.24.1] - 2021-08-19
 
 ### Fixed
@@ -1042,6 +1045,7 @@ for info on changes for earlier releases.
 [#1294]: https://github.com/import-js/eslint-plugin-import/pull/1294
 [#1290]: https://github.com/import-js/eslint-plugin-import/pull/1290
 [#1277]: https://github.com/import-js/eslint-plugin-import/pull/1277
+[#1262]: https://github.com/import-js/eslint-plugin-import/pull/1262
 [#1257]: https://github.com/import-js/eslint-plugin-import/pull/1257
 [#1253]: https://github.com/import-js/eslint-plugin-import/pull/1253
 [#1248]: https://github.com/import-js/eslint-plugin-import/pull/1248
diff --git a/docs/rules/no-unresolved.md b/docs/rules/no-unresolved.md
index ae6177dfd9..89d00b9301 100644
--- a/docs/rules/no-unresolved.md
+++ b/docs/rules/no-unresolved.md
@@ -76,10 +76,25 @@ By default, this rule will report paths whose case do not match the underlying f
 const { default: x } = require('./foo') // reported if './foo' is actually './Foo' and caseSensitive: true
 ```
 
+#### `caseSensitiveStrict`
+
+The `caseSensitive` option does not detect case for the current working directory. The `caseSensitiveStrict` option allows checking `cwd` in resolved path. By default, the option is disabled.
+
+
+```js
+/*eslint import/no-unresolved: [2, { caseSensitiveStrict: true }]*/
+
+// Absolute paths
+import Foo from `/Users/fOo/bar/file.js` // reported, /Users/foo/bar/file.js
+import Foo from `d:/fOo/bar/file.js` // reported, d:/foo/bar/file.js
+
+// Relative paths, cwd is Users/foo/
+import Foo from `./../fOo/bar/file.js` // reported
+```
+
 ## When Not To Use It
 
-If you're using a module bundler other than Node or Webpack, you may end up with
-a lot of false positive reports of missing dependencies.
+If you're using a module bundler other than Node or Webpack, you may end up with a lot of false positive reports of missing dependencies.
 
 ## Further Reading
 
diff --git a/src/rules/no-unresolved.js b/src/rules/no-unresolved.js
index 719bbded9d..6ed009b1cf 100644
--- a/src/rules/no-unresolved.js
+++ b/src/rules/no-unresolved.js
@@ -18,14 +18,17 @@ module.exports = {
     schema: [
       makeOptionsSchema({
         caseSensitive: { type: 'boolean', default: true },
+        caseSensitiveStrict: { type: 'boolean', default: false },
       }),
     ],
   },
 
   create: function (context) {
+    const options = context.options[0] || {};
+
     function checkSourceValue(source) {
-      const shouldCheckCase = !CASE_SENSITIVE_FS
-        && (!context.options[0] || context.options[0].caseSensitive !== false);
+      const caseSensitive = !CASE_SENSITIVE_FS && options.caseSensitive !== false;
+      const caseSensitiveStrict = !CASE_SENSITIVE_FS && options.caseSensitiveStrict;
 
       const resolvedPath = resolve(source.value, context);
 
@@ -34,9 +37,9 @@ module.exports = {
           source,
           `Unable to resolve path to module '${source.value}'.`
         );
-      } else if (shouldCheckCase) {
+      } else if (caseSensitive || caseSensitiveStrict) {
         const cacheSettings = ModuleCache.getSettings(context.settings);
-        if (!fileExistsWithCaseSync(resolvedPath, cacheSettings)) {
+        if (!fileExistsWithCaseSync(resolvedPath, cacheSettings, caseSensitiveStrict)) {
           context.report(
             source,
             `Casing of ${source.value} does not match the underlying filesystem.`
@@ -45,6 +48,6 @@ module.exports = {
       }
     }
 
-    return moduleVisitor(checkSourceValue, context.options[0]);
+    return moduleVisitor(checkSourceValue, options);
   },
 };
diff --git a/tests/src/rules/no-unresolved.js b/tests/src/rules/no-unresolved.js
index d21ee2fd8c..19203074e1 100644
--- a/tests/src/rules/no-unresolved.js
+++ b/tests/src/rules/no-unresolved.js
@@ -15,7 +15,7 @@ function runResolverTests(resolver) {
   function rest(specs) {
     specs.settings = Object.assign({},
       specs.settings,
-      { 'import/resolver': resolver },
+      { 'import/resolver': resolver, 'import/cache': { lifetime: 0 } },
     );
 
     return test(specs);
@@ -227,6 +227,10 @@ function runResolverTests(resolver) {
   });
 
   if (!CASE_SENSITIVE_FS) {
+    const relativePath = './tests/files/jsx/MyUnCoolComponent.jsx';
+    const cwd = process.cwd();
+    const mismatchedPath = path.join(cwd.toUpperCase(), relativePath).replace(/\\/g, '/');
+
     ruleTester.run('case sensitivity', rule, {
       valid: [
         rest({ // test with explicit flag
@@ -247,6 +251,29 @@ function runResolverTests(resolver) {
         }),
       ],
     });
+
+    ruleTester.run('case sensitivity strict', rule, {
+      valid: [
+        // #1259 issue
+        rest({ // caseSensitiveStrict is disabled by default
+          code: `import foo from "${mismatchedPath}"`,
+        }),
+      ],
+
+      invalid: [
+        // #1259 issue
+        rest({ // test with enabled caseSensitiveStrict option
+          code: `import foo from "${mismatchedPath}"`,
+          options: [{ caseSensitiveStrict: true }],
+          errors: [`Casing of ${mismatchedPath} does not match the underlying filesystem.`],
+        }),
+        rest({ // test with enabled caseSensitiveStrict option and disabled caseSensitive
+          code: `import foo from "${mismatchedPath}"`,
+          options: [{ caseSensitiveStrict: true, caseSensitive: false }],
+          errors: [`Casing of ${mismatchedPath} does not match the underlying filesystem.`],
+        }),
+      ],
+    });
   }
 
 }