Ibrox side Rangers, Celtic and Blackburn Rovers have been linked with the released Sunderland striker in the summer transfer window.
The 30-year-old striker is a free agent at the moment, having recently been released by Premier League outfit Sunderland.
“It is understood that the striker would be willing to take a pay cut to his current £35k a week package at Sunderland, where he has never been able to break into the team and hold a regular place,” states the report.
Celtic are not the only club who are (reportedly) interested in securing the services of Graham in the summer transfer window.
According to The Sunderland Echo, Birmingham City and Wigan Athletic are interested in signing the Englishman.
The Sun claimed last month that Rangers manager Mark Warburton has identified the former Middlesbrough striker as a summer transfer target.
Newly-appointed Blackburn Rovers manager Owen Coyle recently expressed his interest in Graham to The Lancashire Telegraph.
It seems that the Bhoys have competition, but perhaps the fact that Graham has worked with new Celtic manager Brendan Rodgers before could be a factor in their favour.
The English striker worked with Rodgers first at Watford and then at Swansea City.