diff --git a/src/Type/ArrayType.php b/src/Type/ArrayType.php
index 288caefdc6..2976a325b5 100644
--- a/src/Type/ArrayType.php
+++ b/src/Type/ArrayType.php
@@ -410,6 +410,24 @@ public function setExistingOffsetValueType(Type $offsetType, Type $valueType): T
 			}
 		}
 
+		if (
+			$this->itemType->isArray()->yes()
+			&& $valueType->isArray()->yes()
+			&& $this->itemType->getIterableValueType()->isConstantArray()->yes()
+			&& $valueType->getIterableValueType()->isConstantArray()->yes()
+		) {
+			$newItemType = $this->itemType->setExistingOffsetValueType(
+				$valueType->getIterableKeyType(),
+				$valueType->getIterableValueType(),
+			);
+			if ($newItemType !== $this->itemType) {
+				return new self(
+					$this->keyType,
+					$newItemType,
+				);
+			}
+		}
+
 		return new self(
 			$this->keyType,
 			TypeCombinator::union($this->itemType, $valueType),
diff --git a/tests/PHPStan/Analyser/nsrt/bug-13637.php b/tests/PHPStan/Analyser/nsrt/bug-13637.php
new file mode 100644
index 0000000000..7c2bdd3cf7
--- /dev/null
+++ b/tests/PHPStan/Analyser/nsrt/bug-13637.php
@@ -0,0 +1,45 @@
+<?php declare(strict_types = 1);
+
+namespace Bug13637;
+
+use function PHPStan\Testing\assertType;
+
+/**
+* @return array<int, array<int, array<int, array{abc: int, def: int, ghi: int}>>>
+*/
+function doesNotWork() : array {
+	$final = [];
+
+	for ($i = 0; $i < 5; $i++) {
+		$j = $i * 2;
+		$k = $j +1;
+		$l = $i * 3;
+		$final[$i][$j][$k]['abc'] = $i;
+		$final[$i][$j][$k]['def'] = $i;
+		$final[$i][$j][$k]['ghi'] = $i;
+
+		assertType("array{abc: int<0, 4>, def: int<0, 4>, ghi: int<0, 4>}", $final[$i][$j][$k]);
+	}
+
+	return $final;
+}
+
+/**
+* @return array<int, array<int, array{abc: int, def: int, ghi: int}>>
+*/
+function thisWorks() : array {
+	$final = [];
+
+	for ($i = 0; $i < 5; $i++) {
+		$j = $i * 2;
+		$k = $j +1;
+		$l = $i * 3;
+		$final[$i][$j]['abc'] = $i;
+		$final[$i][$j]['def'] = $i;
+		$final[$i][$j]['ghi'] = $i;
+
+		assertType("array{abc: int<0, 4>, def: int<0, 4>, ghi: int<0, 4>}", $final[$i][$j]);
+	}
+
+	return $final;
+}