diff --git a/src/Type/Php/SprintfFunctionDynamicReturnTypeExtension.php b/src/Type/Php/SprintfFunctionDynamicReturnTypeExtension.php
index 8f1782b0a5..8829b4a4b8 100644
--- a/src/Type/Php/SprintfFunctionDynamicReturnTypeExtension.php
+++ b/src/Type/Php/SprintfFunctionDynamicReturnTypeExtension.php
@@ -125,32 +125,45 @@ public function getTypeFromFunctionCall(
 			return $singlePlaceholderEarlyReturn;
 		}
 
+		if ($allPatternsNonFalsy) {
+			return new IntersectionType([
+				new StringType(),
+				new AccessoryNonFalsyStringType(),
+			]);
+		}
+
 		$isNonEmpty = $allPatternsNonEmpty;
 		if (
-			count($formatStrings) === 0
+			!$isNonEmpty
 			&& $functionReflection->getName() === 'sprintf'
-			&& count($args) === 2
+			&& count($args) >= 2
 			&& $formatType->isNonEmptyString()->yes()
-			&& $scope->getType($args[1]->value)->isNonEmptyString()->yes()
 		) {
-			$isNonEmpty = true;
+			$allArgsNonEmpty = true;
+			foreach ($args as $key => $arg) {
+				if ($key === 0) {
+					continue;
+				}
+
+				if (!$scope->getType($arg->value)->toString()->isNonEmptyString()->yes()) {
+					$allArgsNonEmpty = false;
+					break;
+				}
+			}
+
+			if ($allArgsNonEmpty) {
+				$isNonEmpty = true;
+			}
 		}
 
-		if ($allPatternsNonFalsy) {
-			$returnType = new IntersectionType([
-				new StringType(),
-				new AccessoryNonFalsyStringType(),
-			]);
-		} elseif ($isNonEmpty) {
-			$returnType = new IntersectionType([
+		if ($isNonEmpty) {
+			return new IntersectionType([
 				new StringType(),
 				new AccessoryNonEmptyStringType(),
 			]);
-		} else {
-			$returnType = new StringType();
 		}
 
-		return $returnType;
+		return new StringType();
 	}
 
 	/**
diff --git a/tests/PHPStan/Analyser/nsrt/non-empty-string.php b/tests/PHPStan/Analyser/nsrt/non-empty-string.php
index 9e6ceed668..976071cb84 100644
--- a/tests/PHPStan/Analyser/nsrt/non-empty-string.php
+++ b/tests/PHPStan/Analyser/nsrt/non-empty-string.php
@@ -356,8 +356,12 @@ public function doFoo(string $s, string $nonEmpty, string $nonFalsy, int $i, boo
 		assertType('string', sprintf($s, $nonFalsy));
 		assertType('string', sprintf($nonFalsy, $s));
 		assertType('non-empty-string', sprintf($nonEmpty, $nonEmpty));
-		assertType('non-empty-string', sprintf($nonEmpty, $nonFalsy));
+		assertType('non-empty-string', sprintf($nonEmpty, $nonEmpty, $nonEmpty));
+		assertType('non-empty-string', sprintf($nonEmpty, $nonFalsy, $nonFalsy));
 		assertType('non-empty-string', sprintf($nonFalsy, $nonEmpty));
+		assertType('non-empty-string', sprintf($nonFalsy, $nonEmpty, $nonEmpty));
+		assertType('non-empty-string', sprintf($nonFalsy, $nonFalsy, $nonEmpty));
+		assertType('non-empty-string', sprintf($nonFalsy, $nonFalsy, $nonFalsy));
 		assertType('string', vsprintf($s, []));
 		assertType('string', vsprintf($nonEmpty, []));
 
diff --git a/tests/PHPStan/Rules/Methods/ReturnTypeRuleTest.php b/tests/PHPStan/Rules/Methods/ReturnTypeRuleTest.php
index 801bfd2d22..6aecee85fe 100644
--- a/tests/PHPStan/Rules/Methods/ReturnTypeRuleTest.php
+++ b/tests/PHPStan/Rules/Methods/ReturnTypeRuleTest.php
@@ -1034,4 +1034,9 @@ public function testBug10721(): void
 		$this->analyse([__DIR__ . '/../../Analyser/nsrt/bug-10721.php'], []);
 	}
 
+	public function testBug11491(): void
+	{
+		$this->analyse([__DIR__ . '/data/bug-11491.php'], []);
+	}
+
 }
diff --git a/tests/PHPStan/Rules/Methods/data/bug-11491.php b/tests/PHPStan/Rules/Methods/data/bug-11491.php
new file mode 100644
index 0000000000..9369b36610
--- /dev/null
+++ b/tests/PHPStan/Rules/Methods/data/bug-11491.php
@@ -0,0 +1,49 @@
+<?php
+
+namespace PHPStan\Rules\Methods\data;
+
+use function sprintf;
+
+final class NamedFacet
+{
+	private const string SEPARATOR = '+++';
+
+	private function __construct(
+		/** @var positive-int */
+		private int $id,
+		/** @var non-empty-string */
+		private string $name,
+	) {}
+
+	/**
+	 * @param positive-int $id
+	 * @param non-empty-string $name
+	 */
+	public static function fromIdAndName(int $id, string $name): self
+	{
+		return new self($id, $name);
+	}
+
+	/** @return positive-int */
+	public function id(): int
+	{
+		return $this->id;
+	}
+
+	/** @return non-empty-string */
+	public function name(): string
+	{
+		return $this->name;
+	}
+
+	/** @return non-empty-string */
+	public function toFacetValue(): string
+	{
+		return sprintf(
+			'%s%s%s',
+			$this->name,
+			self::SEPARATOR,
+			$this->id,
+		);
+	}
+}