
The France international returned from a long layoff injury in United's 2-0 defeat by Watford on Dec. 22 and played 45 minutes in their 4-1 win over Newcastle United on Boxing Day.
Martial, Rashford ease improving Man Utd past Burnley
Pogba felt pain in his ankle after the Newcastle game but Solskjaer said the 26-year-old would be ready for United's next match.
"He's been out for a long while and he didn't feel right," Solskjaer told reporters. "When you've been out for such a while it's always going to take time until you're 100%.
Martial double fires Man United in Newcastle rout
"He wasn't ready (to face Burnley) because he's not really done too many games and he's had two in a few days and he just needed another day's recovery."
United midfielder Scott McTominay damaged knee ligaments in the win over Newcastle and Solskjaer said the 23-year-old could be out of action for about a month.
"I wouldn't expect him to be back within a few weeks," the Norwegian added. "I don't know if it's three or four weeks ... We've just got to find a way through it."
United's win over Burnley lifted them to fifth in the table, while Arsenal dropped to 12th after losing to Chelsea on Sunday.
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