Unai Emery will be due compensation of £4m should Arsenal opt to sack him before the end of the season.
A run of two wins from 11 matches has left the Gunners in eighth position in the Premier League standings, 19 points adrift of leaders Liverpool.
Recent performances have led to calls for the Spaniard to be removed from his role as soon as possible, rather than being given time to improve the club's fortunes.
According to the Daily Mail, the board at the north Londoners will be required to pay Emery a fee of £4m should they part ways before the end of the campaign.
The report adds that Arsenal would be able to sack Emery for nothing if he remains in the job until the summer.
Nevertheless, a negative result away at Norwich City on Sunday afternoon may lead to a decision being made on the 48-year-old's future.