While you can probably file anyway, I would wait for a corrected copy. If you still work at that employer they may be able to correct the problem quickly and just hand it to you. Otherwise you'll have to wait for the mail, or go pick it up.
If you're filing through Turbo Tax, you don't need to send in your W-2's to the IRS, so it won't matter for filing. But... should you ever get audited you'll want a corrected copy.
