Hibs and Hearts are also believed to have assessed the former Montpellier man
Celtic and Rangers are both reportedly interested in Thomas Robert.
The French winger, whose father is former Newcastle star Laurent Robert, has caught the eye with his displays for Airdrie since joining from Ligue 1 side Montpellier in the summer.
As reported by Lanarkshire Live Sport, the 20-year-old winger has been watched by champions Celtic, with Rangers, Hearts and Hibs also keeping tabs on him.
Robert has three goals in 11 appearances so far this season for the League One side, and his form could be set to land him a move to a bigger club.
Airdrie are reluctant to lose him. but manager Ian Murray told Lanarkshire Live Sport that a move could be a possibility.
Former Rangers and Hibs player Murray said: “If someone is desperate for him and puts in an offer, then what can we do?
“We are football club developing young players and it’s great for us, but there’s nothing we can do.
“On the flip side, he can still be here if someone wants to buy him and loan him back.
“He needs to be in an environment that he is really happy with and safe in because he’s had a big move over from France, away from his family.
“He is a young man coming to Scotland – and amid Covid, which hasn’t helped anyone – so it has been tough.
“Does he need more upheaval of going somewhere else at this time? At this time, I would say absolutely not.
“But I’m speaking as the manager of Airdrie, who wants the best players on my team. He might see things totally differently.
“But there’s nothing there at the moment. He needs to keep producing, keep his consistency levels really high and if he does that, it’s just natural teams will be interested in him.
“When was the last time Airdrie had a player linked to the Old Firm and it’s on the back page of a national newspaper?
“It’s not very often and there is some legs in the story.
“There’s been a lot of teams requesting to come to our games in the last three to four weeks, but with the Covid restrictions in place, they all can’t get in, believe it or not.
“We’ve had to turn away many, many requests for Thomas.”
Celtic had the player watched in Airdrie’s recent matches against East Fife and Montrose.