My ssn on W2 was incorrect

My SSN on W2 was incorrect. My employer is attempting to correct my SSN on W2 but they said it will take 6 - 8 weeks from now. It will be overdue on tax day if I wait receiving revised W2.

Should I file it even though the incorrect SSN was on my W2 or wait to receive revised W2 and file tax as the overdue?