The Celtic physio also works with the Scotland national team.
The paper say that Ole Gunnar Solskjaer is currently overseeing a revamp of the backroom staff at Old Trafford.
Although they are currently advertising for the position of Head Physio, it’s reported that Williamson is now seen as suitable for the role.
United’s stars have suffered from a number of muscle injuries in recent months with expensive talents like Anthony Martial, Marcus Rashford and Paul Pogba all missing action.
Williamson has a good reputation in the game having also worked at Birmingham City, as well as at the academies of Leeds United and Tottenham Hotspur.
He is a long-serving staff member at Celtic Park, first arriving in 2002 before returning in 2010 after that spell in Birmingham.
His formal job title is currently Head of Physiotherapy and Medical Services.
His return coincided with Lennon’s appointment as manager during his first spell, with the duo apparently having struck up a friendship during the Hoops boss’ playing days.
Whether that emotional attachment ensure he remains at the club will be interesting to see. It’s clear he’s a valued staff member.
However, the lure of working at Old Trafford could be a big one, as well as working alongside some of the world’s biggest names in football.
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