The record limped to number 47 in the album charts on 14 November after selling just 5,000 copies in its first week.
Before the release, Tesco's entertainment director, Rob Salter, said exclusive music deals at the supermarket were "a way of us recreating that big buzz you used to get around a music release".
The flop would mean Tesco would have to "work a lot harder to justify why something should be exclusive," warned Verdict consulting director Neil Saunders.
"If something doesn't do well it's the result of consumers not wanting it," he said. "But being sold exclusively has exacerbated that problem. If you limit yourself to just one retailer, people who aren't necessarily in the core fan base, but might have picked it up, don't."
The album was the third exclusive for Tesco. Its fourth, an album to mark Coronation Street's 50th anniversary, will be released on 29 November.