West Ham's long-term absentee Winston Reid could return for the under-23s next week or the week after.
The 31-year-old has been sidelined since his knee injury against Swansea almost a year and a half ago, but could be nearing a return.
Manuel Lanzini has a small problem, which will be assessed on Saturday. Arthur Masuaku will be unavailable after his sending-off at Aston Villa on Monday and is expected to be replaced by Aaron Cresswell.
James missed Thursday's Europa League win against Astana due to a knock sustained against Leicester and will be assessed ahead of the trip to the capital.
Solskjaer is not expecting Pogba (ankle) or Martial (thigh) to return on Sunday, while left-back Shaw (hamstring) remains sidelined.
West Ham provisional squad: Fabianski, Fredericks, Diop, Ogbonna, Cresswell, Rice, Yarmolenko, Fornals, Noble, Balbuena, Felipe Anderson, Zabaleta, Haller, Snodgrass, Wilshire, Ajeti, Jimenez.
Man Utd provisional squad: De Gea, Romero, Grant, Dalot, Wan-Bissaka, Jones, Lindelof, Maguire, Tuanzebe, Rojo, Young, Fred, Garner, Gomes, Matic, McTominay, James, Pereira, Chong, Lingard, Mata, Greenwood, Rashford.