diff --git a/src/Parser.php b/src/Parser.php
index f35dccf2..72e38bf9 100644
--- a/src/Parser.php
+++ b/src/Parser.php
@@ -1068,10 +1068,9 @@ private function parsePrimaryExpression($parentNode) {
             // anonymous-function-creation-expression
             case TokenKind::StaticKeyword:
                 // handle `static::`, `static(`, `new static;`, `instanceof static`
-                if (($this->lookahead([TokenKind::ColonColonToken, TokenKind::OpenParenToken])) ||
-                    (!$this->lookahead([TokenKind::FunctionKeyword, TokenKind::FnKeyword]))
-                ) {
-                    return $this->parseQualifiedName($parentNode);
+                if ((!$this->lookahead([TokenKind::FunctionKeyword, TokenKind::FnKeyword]))) {
+                    // TODO: Should this check the parent type to reject `$x = static;`, `$x = static();`, etc.
+                    return $this->parseStaticQualifiedName($parentNode);
                 }
                 // Could be `static function` anonymous function creation expression, so flow through
             case TokenKind::FunctionKeyword:
@@ -1370,6 +1369,21 @@ private function isQualifiedNameStartForCatchFn() {
         };
     }
 
+    /**
+     * @return QualifiedName
+     */
+    private function parseStaticQualifiedName($parentNode) {
+        $node = new QualifiedName();
+        $token = $this->eat(TokenKind::StaticKeyword);
+        $token->kind = TokenKind::Name;
+        $node->parent = $parentNode;
+        $node->nameParts = [$token];
+        return $node;
+    }
+
+    /**
+     * @return QualifiedName|null - returns null for invalid qualified names such as `static\` (use parseStaticQualifiedName for that)
+     */
     private function parseQualifiedName($parentNode) {
         return ($this->parseQualifiedNameFn())($parentNode);
     }
@@ -1388,7 +1402,9 @@ private function parseQualifiedNameFn() {
                     DelimitedList\QualifiedNameParts::class,
                     TokenKind::BackslashToken,
                     function ($token) {
-                        // a\static() <- VALID
+                        // a\static() <- INVALID (but not checked for right now)
+                        // new a\static() <- INVALID
+                        // new static() <- VALID
                         // a\static\b <- INVALID
                         // a\function <- INVALID
                         // a\true\b <-VALID
@@ -1485,6 +1501,9 @@ private function parseNamedLabelStatement($parentNode) {
         return $namedLabelStatement;
     }
 
+    /**
+     * @param int|int[] ...$expectedKinds an array of one or more kinds/sets of allowed kinds in each position
+     */
     private function lookahead(...$expectedKinds) : bool {
         $startPos = $this->lexer->getCurrentPosition();
         $startToken = $this->token;
diff --git a/tests/cases/parser/binaryExpression20.php b/tests/cases/parser/binaryExpression20.php
new file mode 100644
index 00000000..77da5416
--- /dev/null
+++ b/tests/cases/parser/binaryExpression20.php
@@ -0,0 +1 @@
+<?php \&static\
diff --git a/tests/cases/parser/binaryExpression20.php.diag b/tests/cases/parser/binaryExpression20.php.diag
new file mode 100644
index 00000000..f4613cd6
--- /dev/null
+++ b/tests/cases/parser/binaryExpression20.php.diag
@@ -0,0 +1,14 @@
+[
+    {
+        "kind": 0,
+        "message": "';' expected.",
+        "start": 14,
+        "length": 0
+    },
+    {
+        "kind": 0,
+        "message": "';' expected.",
+        "start": 15,
+        "length": 0
+    }
+]
\ No newline at end of file
diff --git a/tests/cases/parser/binaryExpression20.php.tree b/tests/cases/parser/binaryExpression20.php.tree
new file mode 100644
index 00000000..f16a1275
--- /dev/null
+++ b/tests/cases/parser/binaryExpression20.php.tree
@@ -0,0 +1,78 @@
+{
+    "SourceFileNode": {
+        "statementList": [
+            {
+                "InlineHtml": {
+                    "scriptSectionEndTag": null,
+                    "text": null,
+                    "scriptSectionStartTag": {
+                        "kind": "ScriptSectionStartTag",
+                        "textLength": 6
+                    }
+                }
+            },
+            {
+                "ExpressionStatement": {
+                    "expression": {
+                        "BinaryExpression": {
+                            "leftOperand": {
+                                "QualifiedName": {
+                                    "globalSpecifier": {
+                                        "kind": "BackslashToken",
+                                        "textLength": 1
+                                    },
+                                    "relativeSpecifier": null,
+                                    "nameParts": []
+                                }
+                            },
+                            "operator": {
+                                "kind": "AmpersandToken",
+                                "textLength": 1
+                            },
+                            "rightOperand": {
+                                "QualifiedName": {
+                                    "globalSpecifier": null,
+                                    "relativeSpecifier": null,
+                                    "nameParts": [
+                                        {
+                                            "kind": "Name",
+                                            "textLength": 6
+                                        }
+                                    ]
+                                }
+                            }
+                        }
+                    },
+                    "semicolon": {
+                        "error": "MissingToken",
+                        "kind": "SemicolonToken",
+                        "textLength": 0
+                    }
+                }
+            },
+            {
+                "ExpressionStatement": {
+                    "expression": {
+                        "QualifiedName": {
+                            "globalSpecifier": {
+                                "kind": "BackslashToken",
+                                "textLength": 1
+                            },
+                            "relativeSpecifier": null,
+                            "nameParts": []
+                        }
+                    },
+                    "semicolon": {
+                        "error": "MissingToken",
+                        "kind": "SemicolonToken",
+                        "textLength": 0
+                    }
+                }
+            }
+        ],
+        "endOfFileToken": {
+            "kind": "EndOfFileToken",
+            "textLength": 0
+        }
+    }
+}
\ No newline at end of file