TurboTax is software to assist you with a self-prepared tax return. TurboTax is not authorized to represent you in front of the IRS unless you used the full service option which is very expensive, so even if the IRS had a deposit date—which I very much doubt at this point since they only announced yesterday that they would be recalculating affected the tax returns—TurboTax could not get that date for you from the IRS due to taxpayer privacy laws.
