Rodgers is believed to have rejected an approach from Carroll’s former club Newcastle to re-sign the 23-year-old on a season-long loan earlier this month.
Carroll’s future at Liverpool remains uncertain however as Rodgers has made it clear he will listen to offers for the player.
“There is talk of him going on loan, but there is absolutely no way I would be looking to loan a player like that, especially after the investment the club have paid,” Rodgers told Sky Sports News.
“But his condition will be the same as every player. If an offer comes in for any player at the club we would either look at it, or dismiss it, and Andy’s no different to that.”
Carroll has endured a largely disappointing spell with Liverpool following his club record £35 million ($54.8 million) move from Newcastle in January 2011, scoring just 11 goals in 56 appearances.
It is thought the burly targetman might be a bad fit for Rodgers’ smooth passing style, yet the Liverpool chief has been keen to reassure Carroll that he would be given a chance if he does end up staying at Anfield.
“I’ve spoken openly and honestly with Andy in terms of where he is at, but I have done the same with all of the players, I have spoken to all of them, I have had communication with all of the group,” Rodgers said.
“It gets highlighted more with Andy because he is a young player. Maybe others may not see him fitting in with me, but for me he is an important part of the group.”