Both venues are run by Everyone Theatres under a confidential contract with the council for leisure facilities.
At a meeting of the executive this week, Baker said: “With one of our theatres running up annual losses of hundreds of thousands of pounds a year and largely hosting tribute acts, we do need a thorough review of theatre operations to work out whether this is really the best use of public money when we are making savings elsewhere.”
He did not clarify which of the two theatres he was describing, but the programme at the Grove Theatre for the rest of January includes tributes to Tina Turner, Neil Diamond, Take That, the Bee Gees and ELO.