Francis Manapul reported on Twitter, and then The Source confirmed that The Flash #1 and 10 other recent launches are getting second printings.
No word yet on when it will ship, or what cover DC will use. They already used an uncolored sketch version of the original cover as a 1:100 variant, but with the number of random Flash covers they seem to have stocked up by various artists, I’m sure they could simply reassign the variant for, say, The Flash #7, or another issue that hasn’t been solicited yet. They could also put out a variation on Tony Harris’ variant cover for the first printing, or use an interior splash page, or take the black-and-white with spot color approach to either of the original covers.