According to the source, the club is hoping that Congolese left-back Arthur Masuaku will be back in contention after the international break following knee surgery.
Masuaku underwent his surgery following a severe injury in a 3-1 home defeat against Manchester United, though the Hammers could be buoyed by his experience and presence as the Irons look to wrap up their push for European football in the latter portion of the season.
Equally, Ogbonna and Yarmolenko are understood to be a few weeks behind Masuaku in terms of a return date but could nonetheless join their wing-back counterpart in returning to the fold in the coming weeks.
Even just one of the players returning would be an immense rush of confidence to the head of David Moyes, who will see both the quality and depth available to him increase dramatically.
By extension, all three players returning in the near future only adds to a further consolation for the Irons.
West Ham will need to utilise every asset in order to sustain pressure on rival teams hunting for the top European spots towards the denouement of the season, and Moyes will see the return of several players as a useful buffer against potential injury issues.