diff --git a/src/Parser/ConstExprParser.php b/src/Parser/ConstExprParser.php
index b0ee83d9..70a45f63 100644
--- a/src/Parser/ConstExprParser.php
+++ b/src/Parser/ConstExprParser.php
@@ -56,15 +56,29 @@ public function parse(TokenIterator $tokens, bool $trimStrings = false): Ast\Con
 
 			if ($tokens->tryConsumeTokenType(Lexer::TOKEN_DOUBLE_COLON)) {
 				$classConstantName = '';
-				if ($tokens->currentTokenType() === Lexer::TOKEN_IDENTIFIER) {
-					$classConstantName .= $tokens->currentTokenValue();
-					$tokens->consumeTokenType(Lexer::TOKEN_IDENTIFIER);
-					if ($tokens->tryConsumeTokenType(Lexer::TOKEN_WILDCARD)) {
+				$lastType = null;
+				while (true) {
+					if ($lastType !== Lexer::TOKEN_IDENTIFIER && $tokens->currentTokenType() === Lexer::TOKEN_IDENTIFIER) {
+						$classConstantName .= $tokens->currentTokenValue();
+						$tokens->consumeTokenType(Lexer::TOKEN_IDENTIFIER);
+						$lastType = Lexer::TOKEN_IDENTIFIER;
+
+						continue;
+					}
+
+					if ($lastType !== Lexer::TOKEN_WILDCARD && $tokens->tryConsumeTokenType(Lexer::TOKEN_WILDCARD)) {
 						$classConstantName .= '*';
+						$lastType = Lexer::TOKEN_WILDCARD;
+
+						continue;
 					}
-				} else {
-					$tokens->consumeTokenType(Lexer::TOKEN_WILDCARD);
-					$classConstantName .= '*';
+
+					if ($lastType === null) {
+						// trigger parse error if nothing valid was consumed
+						$tokens->consumeTokenType(Lexer::TOKEN_WILDCARD);
+					}
+
+					break;
 				}
 
 				return new Ast\ConstExpr\ConstFetchNode($identifier, $classConstantName);
diff --git a/tests/PHPStan/Parser/TypeParserTest.php b/tests/PHPStan/Parser/TypeParserTest.php
index 2ae85a3e..d42a290c 100644
--- a/tests/PHPStan/Parser/TypeParserTest.php
+++ b/tests/PHPStan/Parser/TypeParserTest.php
@@ -858,6 +858,22 @@ public function provideParseData(): array
 				'Foo::FOO_*',
 				new ConstTypeNode(new ConstFetchNode('Foo', 'FOO_*')),
 			],
+			[
+				'Foo::FOO_*BAR',
+				new ConstTypeNode(new ConstFetchNode('Foo', 'FOO_*BAR')),
+			],
+			[
+				'Foo::*FOO*',
+				new ConstTypeNode(new ConstFetchNode('Foo', '*FOO*')),
+			],
+			[
+				'Foo::A*B*C',
+				new ConstTypeNode(new ConstFetchNode('Foo', 'A*B*C')),
+			],
+			[
+				'self::*BAR',
+				new ConstTypeNode(new ConstFetchNode('self', '*BAR')),
+			],
 			[
 				'Foo::*',
 				new ConstTypeNode(new ConstFetchNode('Foo', '*')),
@@ -869,8 +885,7 @@ public function provideParseData(): array
 			],
 			[
 				'Foo::*a',
-				new ConstTypeNode(new ConstFetchNode('Foo', '*')), // fails later in PhpDocParser
-				Lexer::TOKEN_IDENTIFIER,
+				new ConstTypeNode(new ConstFetchNode('Foo', '*a')),
 			],
 			[
 				'( "foo" | Foo::FOO_* )',