diff --git a/src/Type/TypeCombinator.php b/src/Type/TypeCombinator.php
index 22bffb68484..f027c402f05 100644
--- a/src/Type/TypeCombinator.php
+++ b/src/Type/TypeCombinator.php
@@ -1515,10 +1515,14 @@ public static function intersect(Type ...$types): Type
 						$newArray = ConstantArrayTypeBuilder::createEmpty();
 						$valueTypes = $types[$i]->getValueTypes();
 						foreach ($types[$i]->getKeyTypes() as $k => $keyType) {
+							$hasOffset = $types[$j]->hasOffsetValueType($keyType);
+							if ($hasOffset->no()) {
+								continue;
+							}
 							$newArray->setOffsetValueType(
 								self::intersect($keyType, $types[$j]->getIterableKeyType()),
-								self::intersect($valueTypes[$k], $types[$j]->getIterableValueType()),
-								$types[$i]->isOptionalKey($k) && !$types[$j]->hasOffsetValueType($keyType)->yes(),
+								self::intersect($valueTypes[$k], $types[$j]->getOffsetValueType($keyType)),
+								$types[$i]->isOptionalKey($k) && !$hasOffset->yes(),
 							);
 						}
 						$types[$i] = $newArray->getArray();
@@ -1531,10 +1535,14 @@ public static function intersect(Type ...$types): Type
 						$newArray = ConstantArrayTypeBuilder::createEmpty();
 						$valueTypes = $types[$j]->getValueTypes();
 						foreach ($types[$j]->getKeyTypes() as $k => $keyType) {
+							$hasOffset = $types[$i]->hasOffsetValueType($keyType);
+							if ($hasOffset->no()) {
+								continue;
+							}
 							$newArray->setOffsetValueType(
 								self::intersect($keyType, $types[$i]->getIterableKeyType()),
-								self::intersect($valueTypes[$k], $types[$i]->getIterableValueType()),
-								$types[$j]->isOptionalKey($k) && !$types[$i]->hasOffsetValueType($keyType)->yes(),
+								self::intersect($valueTypes[$k], $types[$i]->getOffsetValueType($keyType)),
+								$types[$j]->isOptionalKey($k) && !$hasOffset->yes(),
 							);
 						}
 						$types[$j] = $newArray->getArray();
diff --git a/tests/PHPStan/Analyser/nsrt/bug-11234.php b/tests/PHPStan/Analyser/nsrt/bug-11234.php
new file mode 100644
index 00000000000..bfbcb27e2fa
--- /dev/null
+++ b/tests/PHPStan/Analyser/nsrt/bug-11234.php
@@ -0,0 +1,79 @@
+<?php // lint >= 8.0
+
+namespace Bug11234;
+
+use function PHPStan\Testing\assertType;
+
+class Payload {}
+
+/** @param array{0|1|2|3, int|Payload|string|null}&array{int, Payload} $x */
+function testIntersectConstantUnionWithInt(mixed $x): void
+{
+	assertType('array{0|1|2|3, Bug11234\Payload}', $x);
+}
+
+/** @param array{int, Payload}&array{0|1|2|3, int|Payload|string|null} $x */
+function testIntersectConstantUnionWithIntReverse(mixed $x): void
+{
+	assertType('array{0|1|2|3, Bug11234\Payload}', $x);
+}
+
+/** @param array{0|1|2|3, int|Payload|string|null}&array{0|1|2|3, Payload} $x */
+function testIntersectBothConstantUnion(mixed $x): void
+{
+	assertType('array{0|1|2|3, Bug11234\Payload}', $x);
+}
+
+/** @param array{int, int|Payload|string|null}&array{int, Payload} $y */
+function testIntersectPlainInt(mixed $y): void
+{
+	assertType('array{int, Bug11234\Payload}', $y);
+}
+
+/** @param array{0|1, string|int, Payload|null}&array{int, string, Payload} $z */
+function testIntersectThreePositions(mixed $z): void
+{
+	assertType('array{0|1, string, Bug11234\Payload}', $z);
+}
+
+/** @param array{'a'|'b', int|Payload|string|null}&array{string, Payload} $w */
+function testIntersectStringConstantUnion(mixed $w): void
+{
+	assertType("array{'a'|'b', Bug11234\Payload}", $w);
+}
+
+/** @param array{0|1, int|string}&array{int, int, extra?: bool} $v */
+function testIntersectOptionalKey(mixed $v): void
+{
+	assertType('array{0|1, int}', $v);
+}
+
+/** @param array{true|false, int|string}&array{bool, string} $u */
+function testIntersectBoolConstantUnion(mixed $u): void
+{
+	assertType('array{bool, string}', $u);
+}
+
+/** @param array{int<0, 3>, int|Payload|string|null}&array{int, Payload} $x */
+function testIntersectIntRangeValue(mixed $x): void
+{
+	assertType('array{int<0, 3>, Bug11234\Payload}', $x);
+}
+
+/** @param array{non-empty-string, int|Payload|string|null}&array{string, Payload} $x */
+function testIntersectNonEmptyStringValue(mixed $x): void
+{
+	assertType('array{non-empty-string, Bug11234\Payload}', $x);
+}
+
+/** @param array{0|1|2|3, non-empty-string|int|null}&array{int, string} $x */
+function testIntersectNonEmptyStringInUnion(mixed $x): void
+{
+	assertType('array{0|1|2|3, non-empty-string}', $x);
+}
+
+/** @param array{0|1|2|3, string|null}&array{int, non-empty-string} $x */
+function testIntersectWithNonEmptyStringOtherSide(mixed $x): void
+{
+	assertType('array{0|1|2|3, non-empty-string}', $x);
+}
diff --git a/tests/PHPStan/Type/TypeCombinatorTest.php b/tests/PHPStan/Type/TypeCombinatorTest.php
index 6c51dbcd9b1..3607adcddbe 100644
--- a/tests/PHPStan/Type/TypeCombinatorTest.php
+++ b/tests/PHPStan/Type/TypeCombinatorTest.php
@@ -4933,6 +4933,24 @@ public static function dataIntersect(): iterable
 			TemplateIntersectionType::class,
 			'T of Countable&Iterator (function a(), parameter)',
 		];
+
+		yield [
+			[
+				new ConstantArrayType(
+					[new ConstantIntegerType(0), new ConstantIntegerType(1)],
+					[
+						new UnionType([new ConstantIntegerType(0), new ConstantIntegerType(1), new ConstantIntegerType(2), new ConstantIntegerType(3)]),
+						new UnionType([new IntegerType(), new ObjectType('stdClass'), new StringType(), new NullType()]),
+					],
+				),
+				new ConstantArrayType(
+					[new ConstantIntegerType(0), new ConstantIntegerType(1)],
+					[new IntegerType(), new ObjectType('stdClass')],
+				),
+			],
+			ConstantArrayType::class,
+			'array{0|1|2|3, stdClass}',
+		];
 	}
 
 	/**