4. Request Direct Deposit. Once your tax return is accepted and the refund approved, you can choose to have your money directly deposited in your bank account within a week. If you choose to have a paper check sent through the mail from the IRS, this option will add at least another two weeks to the process. 5.File on a Sunday or Monday. If you can control it, try to file on a Sunday or Monday to maximize the likelihood that you will receive your refund before the weekend.f you choose to have a paper check sent through the mail from the IRS, this option will add at least another two weeks to the process. 5. File on a Sunday or Monday. If you can control it, try to file on a Sunday or Monday to maximize the likelihood that you will receive your refund before the weekend.