The midfielder has been plagued by an ankle injury this season and has not featured since United’s 1-1 draw with Arsenal last month.
Red Devils boss Solskjaer said: “I don’t think we will see him before December. He’ll be out for a while.
“He needs time to fully, fully recover so I don’t think he will be back (until) maybe Sheffield United after the international break.
“It will probably be December until we can see him.
“I’m not the doctor but there is an injury there that needs healing. Ankle rather than foot.”
Pogba has made only six appearances for the Red Devils this term, playing just twice since August.
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Aside from the injury blow to the 26-year-old, it was a positive weekend for United, who won 3-1 at Norwich thanks to goals from Scott McTominay, Marcus Rashford and Anthony Martial.
The result saw Solskjaer’s men win away from home in the Premier League for the first time since February.