Midfielder Pogba (ankle) and forward Martial (thigh) have not recovered over the international break, while defenders Luke Shaw (hamstring), Diogo Dalot (hip) and Eric Bailly (knee) remain out.
Right-back Aaron Wan-Bissaka (back) and midfielder Jesse Lingard (illness) are major doubts for Ole Gunnar Solskjaer’s side. Defender Timothy Fosu-Mensah (knee) is a long-term absentee.
“Well, the treatment room’s been busy and still is,” said United manager Solskjaer. “So, we don’t really know who is going to be available.
“There’s maybe Aaron, maybe Jesse and I think maybe that’s it from the ones that had to pull out, but I can’t promise those two will be available either.
“Leicester is always a tough game as a team, a club wanting to push into the top four. They’ve got good players, a very good manager, a proven top manager.
“So, Brendan’s teams always play good football and we know we’ve got to play well to deserve the three points.”
Leicester have no new injury issues after all of their players returned from international duty unscathed.
Kasper Schmeichel, Ben Chilwell, Caglar Soyuncu, James Maddison, Youri Tielemans, Dennis Praet and Jonny Evans were all away on duty with their respective countries.
Foxes skipper Wes Morgan is fit after a back problem while long-term absentee Matty James is still recovering from an operation on his troublesome Achilles and was not named in Leicester’s 25-man Premier League squad this week.
Manchester United: De Gea, Romero, Wan-Bissaka, Young, Jones, Maguire, Lindelof, Rojo, Williams, Tuanzebe, Chong, Garner, Gomes, James, Fred, Lingard, Matic, Mata, McTominay, Pereira, Greenwood, Rashford.
Leicester: Schmeichel, Ward, Jakupovic, Chilwell, Justin, Pereira, Morgan, Evans, Fuchs, Soyuncu, Amartey, Gray, Praet, Tielemans, Maddison, Albrighton, Barnes, Choudhury, Mendy, Ndidi, Perez, Vardy, Iheanacho.