See When will I know if I've been approved? in the Offer details and disclosures for the Refund Advance program for more information.
See these resources for more information:
The IRS' 2024 tax filing season set for January 29 page
TurboTax Help article When will my refund be deposited into my Credit Karma Money™ account?*
Credit Karma's What is TurboTax Refund Advance?