The Armenia international has been settling into life at The Emirates since signing for the Gunners from Manchester United in the January transfer window.
The 29-year-old picked up a knee problem during Arsenal’s 4-1 win over CSKA Moscow in the Europa League on Thursday last week and he has been undergoing treatment at the club’s medical ground.
Arsenal beat Southampton 3-2 in Mkhitaryan’s absence in the Premier League at The Emirates on Sunday afternoon.
And Wenger delivered an update about the Armenian’s fitness levels during his post-match news conference after the game.
Speaking at his post-match news conference on Sunday, Wenger said: “He’s got knee ligament damage.
“He will not be available for Thursday and not for Newcastle and certainly not for the week after, when we play West Ham.
“I think he will miss these games for sure, but he could still play at the end of the season.”
Arsenal, meanwhile, will return to Europa League action on Thursday night when they travel to Russia for the return leg of their quarter-final clash against CSKA Moscow.
The north London side won the first leg 4-1 at The Emirates to take a big step towards reaching the last four of Europe’s second tier club competition.
Arsenal are currently in sixth place in the Premier League table and looking as if they will miss out on a top four finish for the second season running under Wenger.
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