Liverpool midfielder Joe Cole is being linked with a return to West Ham United.
The Daily Star says Cole made his name as a starlet at West Ham before moving to London rivals Chelsea and would welcome the chance to kick-start his career in the East End with Allardyce's team.
A source said: "It's obviously not happening for Joe at Liverpool and being given the chance to get back to his best at West Ham would be ideal.
"Sam's squad isn't as strong as it might be so a move would suit both parties in the short term."