The 24-year-old, who is on a season-long loan at Upton Park, has been sidelined since twisting his knee in West Ham’s 1-0 defeat to Manchester United back in November.
West Ham have bolstered their attacking options with the loan signing of Arsenal striker Marouane Chamakh in Carroll’s absence.
Carroll is back in light training as he works towards a return to action before the end of the month.
Sam Allardyce: “It’s a bit difficult to put an actual time on it but I would expect it will be no longer than a couple of weeks now.
“He’s doing some straight-line running, he’s been doing that for a few days.
“If he doesn’t feel anything then we’ll progress onto interval running and changes of direction, then introduce the ball, then hopefully come back with the players as soon as possible.
“It could be a few days. It could be a bit longer than that just depending on his progression day by day now.”