Pogba would have missed out at Vicarage Road through suspension but has also picked up a thigh issue, with the Frenchman currently recovering in Dubai.
Varane, meanwhile, is expected to be on the sidelines until December due to a hamstring problem.
Solskjaer has claimed that he will need to make a late decision on the involvement of those players currently struggling with "illnesses and small niggles".
"This week has been really positive, there are a couple of doubts with illnesses and small niggles. Paul is out for a while, Rapha is out for a while, apart from that players will be coming back in the near future, some this weekend, some in the week, but that's the same for other players," Solskjaer told reporters.
Man United have lost three of their last four Premier League matches to drop down into sixth position in the table, five points behind fourth-placed Liverpool. body check tags ::