The 18-year-old has burst onto the scene since making his senior debut in August, making 20 appearances for Jack Ross' side so far this season.
Doig told Sky Sports: "It's crazy seeing your name everywhere but it's good to know that all the hard work I am putting in is getting the attention of the big clubs.
“It is crazy for me but it's good. What's for you won't go by you if you put all the hard work in but seeing all these big teams interested, it's unbelievable.
"I am just keeping my head down and not taking anything for granted. I have to push forward."