diff --git a/framework/CHANGELOG.md b/framework/CHANGELOG.md
index 1ec6dbb..a26546a 100644
--- a/framework/CHANGELOG.md
+++ b/framework/CHANGELOG.md
@@ -7,6 +7,7 @@ Yii Framework 2 Change Log
 - Bug #6919: Fixed wrong namespaces under advanced application's TestCase classes (ivokund)
 - Bug #6940: `yii\web\Response::sendContentAsFile()` may not send correct `content-length` header (sadgnome)
 - Bug #6969: `yii\helpers\ArrayHelper::htmlEncode()` and `htmlDecode()` should not remove non-string data (qiangxue)
+- Bug #7037: `yii\console\controllers\AssetController` now correctly handles relative image URLs if source and target CSS are under same directory (klimov-paul)
 - Enh #5663: Added support for using `data-params` to specify additional form data to be submitted via the `data-method` approach (usualdesigner, qiangxue)
 - Enh #6106: Added ability to specify `encode` for each item of `yii\widgets\Breadcrumbs` (samdark, aleksanderd)
 - Enh #6493: Added support for the `Access-Control-Expose-Headers` header by `yii\filters\Cors` (usualdesigner)
diff --git a/framework/console/controllers/AssetController.php b/framework/console/controllers/AssetController.php
index 00fc73b..bfca90e 100644
--- a/framework/console/controllers/AssetController.php
+++ b/framework/console/controllers/AssetController.php
@@ -613,6 +613,9 @@ EOD;
             if (strpos($inputUrl, '/') === 0 || preg_match('/^https?:\/\//is', $inputUrl) || preg_match('/^data:/is', $inputUrl)) {
                 return $fullMatch;
             }
+            if ($inputFileRelativePathParts === $outputFileRelativePathParts) {
+                return $fullMatch;
+            }
 
             if (empty($outputFileRelativePathParts)) {
                 $outputUrlParts = [];
diff --git a/tests/unit/framework/console/controllers/AssetControllerTest.php b/tests/unit/framework/console/controllers/AssetControllerTest.php
index e69f9d4..ae031b0 100644
--- a/tests/unit/framework/console/controllers/AssetControllerTest.php
+++ b/tests/unit/framework/console/controllers/AssetControllerTest.php
@@ -466,6 +466,12 @@ EOL;
                 '/test/base/path/assets/output',
                 '.static-root-relative-class {background-image: url(\'/images/static_root_relative.png\');}',
             ],
+            [
+                '.published-relative-dir-class {background-image: url(../img/same_relative_dir.png);}',
+                '/test/base/path/assets/css',
+                '/test/base/path/assets/css',
+                '.published-relative-dir-class {background-image: url(../img/same_relative_dir.png);}',
+            ],
         ];
     }