The game may yet come too early for midfielder Mark Noble (calf) but Allardyce believes both Diafra Sakho (back) and Alex Song (knee) could play some part against the Swans.
With Enner Valencia making his own comeback from injury in the midweek victory at West Brom and Andy Carroll fit, Allardyce will now have all of his attacking options available as he looks to guide the Hammers to an eighth league win of the campaign.
Neil Taylor misses Swansea’s Barclays Premier League trip to West Ham on Sunday after picking up his fifth booking of the season against QPR in midweek.
Defender Taylor has been ever-present in the league this season and, with no natural cover at left-back, Dwight Tiendalli or Jazz Richards are likely to deputise with Angel Rangel restored on the right after being rested from the Rangers victory.
Swansea manager Garry Monk will assess how Leon Britton came through his first start of the season after three months out with knee trouble before finalising his side at Upton Park, but Argentina defender Federico Fernandez is still not fit enough to make the matchday squad despite returning to training this week after a calf problem.