West Ham shelled out £15m on luring Carroll from Liverpool but he has missed large parts of the season through injury.
Asked if he would move differently this window, Allardyce said: "Not really. Depending on the season and what plays out in the market, it may be spread across the board a bit more, yes, but that market may not allow you to do that.
"When one particular player makes a play to come to your club at the size and talent of that particular player then you go for it.
"In the end, you have to wait at that particular time and negotiate at that particular time to see if you can move that player.
"I think Andy's signing was one of few players that we've signed which were no.1 or no.2 on the list.
"Our list in each position is accumulated and then you start to move forward on that list."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball