diff --git a/src/Rules/Functions/RandomIntParametersRule.php b/src/Rules/Functions/RandomIntParametersRule.php
index 1205283002..12e5b008a7 100644
--- a/src/Rules/Functions/RandomIntParametersRule.php
+++ b/src/Rules/Functions/RandomIntParametersRule.php
@@ -65,6 +65,15 @@ public function processNode(Node $node, Scope $scope): array
 
 		$isSmaller = $maxType->isSmallerThan($minType, $this->phpVersion);
 
+		if ($isSmaller->maybe() && $this->reportMaybes) {
+			if (
+				$minType instanceof IntegerRangeType && ($minType->getMin() === null || $minType->getMax() === null)
+				|| $maxType instanceof IntegerRangeType && ($maxType->getMin() === null || $maxType->getMax() === null)
+			) {
+				return [];
+			}
+		}
+
 		if ($isSmaller->yes() || $isSmaller->maybe() && $this->reportMaybes) {
 			$message = 'Parameter #1 $min (%s) of function random_int expects lower number than parameter #2 $max (%s).';
 			return [
diff --git a/tests/PHPStan/Rules/Functions/RandomIntParametersRuleTest.php b/tests/PHPStan/Rules/Functions/RandomIntParametersRuleTest.php
index 39160f054f..20829c5ce2 100644
--- a/tests/PHPStan/Rules/Functions/RandomIntParametersRuleTest.php
+++ b/tests/PHPStan/Rules/Functions/RandomIntParametersRuleTest.php
@@ -74,4 +74,14 @@ public function testBug6361(): void
 		$this->analyse([__DIR__ . '/data/bug-6361.php'], []);
 	}
 
+	public function testBug14468(): void
+	{
+		$this->analyse([__DIR__ . '/data/bug-14468.php'], [
+			[
+				'Parameter #1 $min (int<5, max>) of function random_int expects lower number than parameter #2 $max (int<min, 3>).',
+				57,
+			],
+		]);
+	}
+
 }
diff --git a/tests/PHPStan/Rules/Functions/data/bug-14468.php b/tests/PHPStan/Rules/Functions/data/bug-14468.php
new file mode 100644
index 0000000000..d0b0b0c672
--- /dev/null
+++ b/tests/PHPStan/Rules/Functions/data/bug-14468.php
@@ -0,0 +1,65 @@
+<?php
+
+namespace Bug14468;
+
+function test(string $s): void
+{
+	$min = 0;
+	$max = strlen($s);
+	while ($min < $max) {
+		$rand = random_int($min, $max);
+		$min++;
+	}
+}
+
+/**
+ * @param int<0, max> $a
+ * @param int<0, max> $b
+ */
+function bothUnboundedMax(int $a, int $b): void
+{
+	random_int($a, $b);
+}
+
+/**
+ * @param int<min, 0> $a
+ * @param int<min, 0> $b
+ */
+function bothUnboundedMin(int $a, int $b): void
+{
+	random_int($a, $b);
+}
+
+/**
+ * @param int<0, max> $min
+ * @param int<0, 10> $max
+ */
+function unboundedMinBoundedMax(int $min, int $max): void
+{
+	random_int($min, $max);
+}
+
+/**
+ * @param int<0, 10> $min
+ * @param int<min, 10> $max
+ */
+function boundedMinUnboundedMax(int $min, int $max): void
+{
+	random_int($min, $max);
+}
+
+/**
+ * @param int<5, max> $min
+ * @param int<min, 3> $max
+ */
+function unboundedButDefinitelyWrong(int $min, int $max): void
+{
+	random_int($min, $max); // error - max <= 3 < 5 <= min
+}
+
+/** @param positive-int $positiveInt */
+function positiveInt(int $int, int $positiveInt): void
+{
+	random_int($int, $int);
+	random_int($positiveInt, $positiveInt);
+}