"Whether it's £15m, £16m or £20m, if [Rodgers] uses that money and gets an uplift in the player that he brings in that's OK," he added.
"And that's how you've got to look at it."
Carroll, who is currently in America with the rest of the Liverpool first-team on a pre-season tour, has scored just 11 times in 54 appearances for the Reds since joining 18 months ago.
However, Rodgers has praised the striker, and dismissed suggestions he would be unable to fit into the style of play the Northern Irishman plans to bring to Liverpool.
"Andy is a terrific young player. I had a brief chat with all the lads and over the next couple of weeks I'll be able to speak to them with more confidence and on a one to one basis,"
Rodgers told the club website.
"There is no doubt he is a terrific talent. There has been a lot of unfair criticism aimed towards Andy.
"He is a player who can play in a number of styles and it was a wee bit unfair on him (for people) to say he couldn't fit into the way I would want to play."
Rodgers continued: "For me, your game is based on your players, the players you have. I am here to win games.
"We've got a number of very, very talented players in the group, of which Andy is one."
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