Adebayor sustained his injury in a heavy tackle by Potters
defender Ryan Shawcross, while winger Theo Walcott (shoulder) and
right-back Bacary Sagna (ankle) were also hurt during the
encounter.
Captain William Gallas, who has been out since the 4-4 draw with
Tottenham Hotspur with a hamstring problem, could, however, return
for Saturday's Barclays Premier League match against Manchester
United.
"Adebayor will be three weeks," manager Arsene Wenger said.
"Walcott could be days or weeks. It is the shoulder he had the
surgery on. We don't know about Gallas yet but Sagna will be back
in the squad (for the Fenerbahce match on Wednesday)."
Adebayor is now set to miss the league matches against United,
Aston Villa and Manchester City. His strike partner Robin van
Persie will sit out the United and Villa matches as well as the
Carling Cup encounter against Wigan Athletic next week as he serves
a three-match suspension after being sent-off at Stoke.
With Eduardo a few weeks away from playing in the first-team
after his broken leg, Wenger's attacking options could be reduced
to the inexperienced Nicklas Bendtner, Carlos Vela and Abou
Diaby.