West Ham are set to open talks with Liverpool over a permanent move for loan striker Carroll - and hope to clinch a deal in the next few weeks, says the Mirror.
But Sam Allardyce's men could face a battle to bag the 24-year-old centre-forward from the Anfield giants, as he also interests Tottenham and his first club, Newcastle United.
Hammers co-owner David Sullivan said: "We would love to keep him beyond this season and we will soon be sitting down with Andy and Liverpool to make some progress on that front.
"Andy has battled back from injury twice to put in a series of tireless shifts for the team. His game is about so much more than just scoring goals.
"He is so often the focal point of everything good we do going forward."