 In March 1972 he was allowed to leave Anfield and moved to Highfield Road and Coventry City where he linked up with former teammate St John once more, again he struggled to get 1st team recognition, even going out on loan to Tranmere Rovers, when St John was in charge, for 10 games.Graham ended his short association with the Sky Blues and returned to Scotland.Graham moved to his home town club Motherwell.