"Historically, the FDIC pays insurance within a few days after a bank closing, usually the next business day, by either 1) providing each depositor with a new account at another insured bank in an amount equal to the insured balance of their account at the failed bank, or 2) issuing a check to each depositor for the insured balance of their account at the failed bank."
https://www.fdic.gov/resources/deposit-insurance/faq/