Allardyce says his 25-year-old striker offers an aerial threat that could give the national squad greater options.
Injury has significantly limited Carroll's appearances this season but the Hammers manager said: "Headed goals can never go out of the game.
"Anybody that tries to take headed goals out of the game destroys the game as an entertainment, diminishes the entertainment value.
"Andy is one of the best headers of the ball you will find, which he showed in the Stoke match on Saturday.
"And not only did he head the ball in the net, he had some of the biggest defenders in the game against him and they couldn't cope."
And Carroll, holder of nine senior England caps, admits Brazil is on his mind: "Of course it is, yes.
"Obviously I am thinking about that but I have to keep scoring goals for West
Ham and we have to start winning games again before that comes."