Unfortunately, it is hard to say. However, if only a number is incorrect on the W2, you can continue completing the tax return so that as soon as it is finished you can submit your return. If they make it difficult for you to receive your corrected W2, please see TurboTaxKrisD response below. Remember, you can call the Taxpayer Assistance Center now to expedite the process or get their advice on how to proceed, so you can send in your return earlier.
https://ttlc.intuit.com/replies/6278846
