The football world was taken aback just over two years ago when Liverpool forked out a club record transfer fee of £35million to sign the front man.
Carroll arrived as replacement for Fernando Torres but the move never quite worked out, leading to a season-long loan at West Ham in the summer.
The east Londoners have the option to make the deal permanent for an undisclosed fee, although reports this week suggest they will reduce their offer.
Carroll has also been linked with a move to former club Newcastle and the striker is not sure what the future holds past the end of the season.
"I have just got to wait and see, really," he said. "We'll see what happens at the end of the season. Obviously I don't know what is happening so we will just have to wait and see.
"It has been great here and every minute has been fantastic. The lads have been great, the gaffer has been great and the fans are unbelievable."
Asked whether he would stay if West Ham put the right money on the table, he added: "We will have to wait and see. It is obviously a great club and I do not see why not."
Carroll netted his sixth West Ham goal on Saturday to earn a hard-fought point at Southampton.