I don't do SBA express 7a loans but I just closed a deal where the borrower signed a purchase agreement and we closed 38 days later with an SBA 7a loan. I could have moved faster but the borrower and his CPA slowed us down a bit.
I only work on CRE secured deals from $250,000 to $6.2M but we can move as quick, or quicker, with the standard SBA 7a program.