The striker, signed by Kenny Dalglish for £35 million in January 2011, has spent the season on loan at West Ham after Rodgers deemed him not to be part of his plans for the current campaign following his arrival from Swansea.
Reports in the national media suggest Carroll will be sold by the Reds this summer, with Liverpool prepared to cut their losses if any club is willing to meet a £17million valuation.
When asked about Carroll's future, Rodgers told Fox Sports: "It's nothing to discuss now. It's something we'll speak about at the end of the season."
England international Carroll, 24, has scored five goals in 17 appearances for the Hammers, including a double in last weekend's win over West Brom.
And Rodgers has kept a close eye on his progress while away from Anfield.
Rodgers said: "We've monitored it very closely. 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."