Solskjaer revealed that Daniel James and Aaron Wan-Bissaka are both set to miss out at Pride Park.
Wales winger James missed the weekend draw with Everton, but £50million full-back Wan-Bissaka played the entire 90 minutes at Goodison Park.
Solskjaer said: "Paul [Pogba's] still working with the physios outside and he won't be training with the first-team until next week and then let's see how long that will take.
"He will need some time to get his football fitness back.
"[James] will probably miss out on this one as well, Marcus and Paul still out.
"And I think [Wan-Bissaka] might be struggling, got a test today but he struggled in our last game against Everton with his back, so he might be out."