Are you looking at the TurboTax estimate, which can be off by days, or the date on the IRS refund website?
Even that can be off if you've elected to have your TurboTax fees paid out of your refund or got an advance. In this case, the refund goes to a third-party bank to be split between you and TurboTax. In some cases, your FI will hold your refund for a few days before clearing it.
