The 19-year-old joined United from Atalanta in January of this year and impressed in his first few games for the club, the highlight being a backwards headed goal in the UEFA Europa League against AC Milan.
Having played for the Ivory Coast at the Olympic Games, Amad was set to continue his development out on loan before picking up an injury.
In an interview with club reporter Zarah Connolly, Solskjaer gave a timeframe for the Ivorian's return.
“Still injured, still out for about a month,” the boss said. “So maybe after the next international break he will be available for us which is great for us.