The Potters welcome Arsene Wenger's side to the Britannia Stadium in three days time after climbing to seventh in the table following last night's triumph over Norwich City.
Shaqiri was ruled out of the clash against the Canaries with a slight hamstring strain and despite the setback not being serious, the Club record signing is expected to miss out this weekend.
"He may miss out on Sunday's game," the Potters boss revealed.
"The likelihood is he will probably need at least 10 days possibly more and that's a real shame.
"It's a shame because he's just started to acclimatise to the Premier League and we could have used his guile last night.
"He could have helped break a resolute Norwich side down but thankfully we didn't need him in the end and it was a good three points."
He added: "As far as I'm aware everybody else is ok, Marko Arnautovic has been feeling a little bit stiff in his hamstring.
"We took him off toward the end of yesterday's game to try and protect him a little bit."