The Lawn Tennis Association has failed to persuade Florence and the Machine to change the date of their show at the Manchester Arena so that the venue could host the Davis Cup semi-final.
Glasgow's Emirates Arena is now expected to stage Team GB's last-four meeting with Australia in September.
The LTA also looked into holding the tie at the Hydro in Glasgow but found the roof would not be high enough.
Andy Murray helped Team GB beat France in the quarter-finals at Queen's Club.
The LTA's chief executive Michael Downey has had "several conversations" with Florence's agent, but were told her gig on the Friday of Britain's Davis Cup semi-final with Australia must go ahead as planned.