Some 89% now expect cut-price and multibuy offers to be part of their regular shopping experience, the survey by Buckingham Research revealed.
The recession had heavily impacted shoppers' expectations, said Lucy Pedrick, research director at Buckingham Research.
"Now more than ever, we expect retailers to compete for our custom with special deals like bogofs and cut-price promotions," she said. "While only a relatively small number said they would avoid stores that didn't offer these deals, retailers should still be wary of failing to meet shoppers' expectations."
Nearly a third thought promotions were now a standard part of supermarket competition, and 4% said they would not shop at a store offering no deals.