Allardyce is currently badly short of numbers in attack.
West Ham United front man Carlton Cole is in line to make his first appearance in his second spell with the Hammers in their Capital One Cup tie against Burnley on Tuesday night, according to reports in the Daily Mirror.
The former England international was released by the east London club at the end of the previous campaign after not being offered a new deal by head coach Sam Allardyce.
However, after the 30-year-old was then unable to find himself a new club over the summer, the two parties have since been reunited with each other for a second time, with Cole now set to feature at Turf Moor following the recent shoulder injury picked up by fellow striker Ricardo Vaz Te.
“Everyone knows I need minutes for match fitness but it was really good to be out there again,” Cole told West Ham TV.
“I’m now hoping to get the minutes and the goals to get us through to the next round.”