diff --git a/rules-tests/CodeQuality/Rector/MethodCall/AssertComparisonToSpecificMethodRector/Fixture/assert_true_to_greater_than.php.inc b/rules-tests/CodeQuality/Rector/MethodCall/AssertComparisonToSpecificMethodRector/Fixture/assert_true_to_greater_than.php.inc
new file mode 100644
index 00000000..1df04733
--- /dev/null
+++ b/rules-tests/CodeQuality/Rector/MethodCall/AssertComparisonToSpecificMethodRector/Fixture/assert_true_to_greater_than.php.inc
@@ -0,0 +1,33 @@
+<?php
+
+namespace Rector\Tests\PHPUnit\CodeQuality\Rector\MethodCall\AssertComparisonToSpecificMethodRector\Fixture;
+
+use PHPUnit\Framework\TestCase;
+
+final class AssertTrueToGreaterThan extends TestCase
+{
+    public function some(int $param)
+    {
+        self::assertTrue(0 > $param);
+        self::assertTrue(0 >= $param);
+    }
+}
+
+?>
+-----
+<?php
+
+namespace Rector\Tests\PHPUnit\CodeQuality\Rector\MethodCall\AssertComparisonToSpecificMethodRector\Fixture;
+
+use PHPUnit\Framework\TestCase;
+
+final class AssertTrueToGreaterThan extends TestCase
+{
+    public function some(int $param)
+    {
+        self::assertGreaterThan($param, 0);
+        self::assertGreaterThanOrEqual($param, 0);
+    }
+}
+
+?>
diff --git a/rules-tests/CodeQuality/Rector/MethodCall/AssertComparisonToSpecificMethodRector/Fixture/assert_true_to_less_than.php.inc b/rules-tests/CodeQuality/Rector/MethodCall/AssertComparisonToSpecificMethodRector/Fixture/assert_true_to_less_than.php.inc
new file mode 100644
index 00000000..86d6e240
--- /dev/null
+++ b/rules-tests/CodeQuality/Rector/MethodCall/AssertComparisonToSpecificMethodRector/Fixture/assert_true_to_less_than.php.inc
@@ -0,0 +1,33 @@
+<?php
+
+namespace Rector\Tests\PHPUnit\CodeQuality\Rector\MethodCall\AssertComparisonToSpecificMethodRector\Fixture;
+
+use PHPUnit\Framework\TestCase;
+
+final class AssertTrueToLessThan extends TestCase
+{
+    public function some(int $param)
+    {
+        self::assertTrue(0 < $param);
+        self::assertTrue(0 <= $param);
+    }
+}
+
+?>
+-----
+<?php
+
+namespace Rector\Tests\PHPUnit\CodeQuality\Rector\MethodCall\AssertComparisonToSpecificMethodRector\Fixture;
+
+use PHPUnit\Framework\TestCase;
+
+final class AssertTrueToLessThan extends TestCase
+{
+    public function some(int $param)
+    {
+        self::assertLessThan($param, 0);
+        self::assertLessThanOrEqual($param, 0);
+    }
+}
+
+?>
diff --git a/rules/CodeQuality/Rector/MethodCall/AssertComparisonToSpecificMethodRector.php b/rules/CodeQuality/Rector/MethodCall/AssertComparisonToSpecificMethodRector.php
index 16e9b5df..74e60108 100644
--- a/rules/CodeQuality/Rector/MethodCall/AssertComparisonToSpecificMethodRector.php
+++ b/rules/CodeQuality/Rector/MethodCall/AssertComparisonToSpecificMethodRector.php
@@ -122,7 +122,12 @@ private function processCallWithBinaryOp(MethodCall|StaticCall $node, BinaryOp $
                 'assertFalse' => $binaryOpWithAssertMethod->getNotAssertMethodName(),
             ]);
 
-            $this->changeArgumentsOrder($node);
+            $shouldKeepOrder = $binaryOp instanceof Greater
+                || $binaryOp instanceof GreaterOrEqual
+                || $binaryOp instanceof Smaller
+                || $binaryOp instanceof SmallerOrEqual;
+
+            $this->changeArgumentsOrder($node, $shouldKeepOrder);
 
             return $node;
         }
@@ -130,14 +135,14 @@ private function processCallWithBinaryOp(MethodCall|StaticCall $node, BinaryOp $
         return null;
     }
 
-    private function changeArgumentsOrder(MethodCall|StaticCall $node): void
+    private function changeArgumentsOrder(MethodCall|StaticCall $node, bool $shouldKeepOrder): void
     {
         $oldArguments = $node->getArgs();
 
         /** @var BinaryOp $expression */
         $expression = $oldArguments[0]->value;
 
-        if ($this->isConstantValue($expression->left)) {
+        if ($this->isConstantValue($expression->left) && ! $shouldKeepOrder) {
             $firstArgument = new Arg($expression->left);
             $secondArgument = new Arg($expression->right);
         } else {