The 25-year-old was ruled out for the rest of the season in October after damaging his anterior cruciate ligament. Manager Ally McCoist revealed that Naismith was given the all clear by his surgeon last week, but the player does not know if he will play again in the current campaign.
Naismith told Blue News: "Things have gone well and I've upped my training now so that I'm doing the majority of things.
"I've not done a lot of contact stuff with the physios or the other boys who are coming back from injuries as that's the next stage.
"I'm hopeful I'll be back training normally before the end of the season, but we'll need to wait and see if I get game time or not."
Naismith had scored nine goals in all competitions before he suffered his injury.