No, you don't need to correct the address on your W-4 or your W-2.
Your W-4 employee address only has an impact with your employer. Your employer should have your correct address, because if you leave him, he will mail your W-2.
Your W-2 employee address is also not a concern to the IRS. They are worried about whether they have your correct current address.
As long as the mailing address you have entered in TurboTax is correct, you're good to go! Make sure that's the address that prints on your tax return.
