Mass vaccination centres could be set up at the Black Country Living Museum and Birmingham's Millennium Point, the Press Association is reporting.
Both venues will become vaccine hubs, forming part of a network of 46 such centres in the coming weeks, it understands.
Parts of Malvern's Three Counties' Showground in Worcestershire and the Villa Park site, home of Aston Villa FC, are also being mooted as possible venues, according to local government sources.
NHS England is not confirming the locations of any mass vaccination sites, though PA has approached all the venues for comment.
Yesterday, the NHS confirmed at least six hospitals in the region would be used to store and administer the Pfizer-BioNTech vaccine, which needs to be kept at -70C.