Pogba missed the wins over West Brom and Istanbul Basaksehir with an ankle problem while McTominay was absent from the latter fixture with an unspecified injury.
Neither trained with the United squad on Friday morning but Solskjaer clarified Pogba's ankle injury is not related to the ankle problems he encountered last season. Marcus Rashford, Victor Lindelof and Aaron Wan-Bissaka are fit and Donny van de Beek and Edinson Cavani could start in the Premier League for the first time.
“Scott and Paul didn't train this morning," Solskjaer said. “They weren't on the grass, so look very unlikely for the weekend. Marcus, Victor, Aaron came through the session today, so hopefully they should be okay but still not 100%.
“Luke has just started his rehab, out on the grass, not out with the team yet. Jesse's back from his isolation period, so he had a couple of days training with the group. Apart from that, Phil Jones is out until after Christmas sometime."