I guess it all depends on whether the Arsenal manager or the England manager is right about the return date from injury of Danny Welbeck. If Arsene Wenger is right and the former Man United forward is ready to play again around the turn of the year, then the chances of Arsenal signing another striker in the January transfer window are pretty slim.
But if Roy Hodgson is right with his prediction about Welbeck missing around six months after undergoing an operation to fix his knee problem, then the chances of the Gunners boss adding to his forward options are much greater.