Carroll is currently on a season-long loan at West Ham after finding himself surplus to requirements under Rodgers.
Reports have suggested Rodgers was considering offering Carroll a lifeline at Liverpool next season if he accepted that he would not a be a regular starter at Anfield.
Rodgers admits Liverpool have been keeping tabs on Carroll's progress at Upton Park, but was remaining coy on whether or not the striker would be handed a second chance at Anfield next season.
"We've monitored it very closely," Rodgers told Fox. "We've had representatives from Liverpool at most of the games.
"It's obviously been a difficult season for Andy because his initial idea was he wanted to go out and play every week, but unfortunately for him he's picked up some injuries since he's been away.
"But he scored two very good goals at the weekend and he'll be looking to finish the season on a high and achieve the objectives he wanted to before he went out."
On Carroll's future beyond the end of the current campaign, Rodgers added: "It's nothing to discuss now. It's something we'll speak about at the end of the season."