The Blues are 10 points clear of the second-placed Gunners and a win against Arsene Wenger’s men will mean they can wrap up the title at Leicester three days later.
Manager Jose Mourinho will be desperate to avoid any late Premier League wobbles and the news that the Ivorian has picked up an anjkle injury will be a blow, considering the ongoing doubts over Diego Costa and Loic Remy.
Drogba, 37, has led the Premier League leaders’ attack in wins over QPR and Manchester United in recent weeks due to Costa’s hamstring injury and Remy’s calf problem.
Drogba, a United Nations Development Programme Goodwill Ambassador, on Monday withdrew from featuring in the Match Against Poverty in St Etienne.
He tweeted: “Disappointed not to be able to play the #MAP2015 because of an ankle injury but still supporting #EbolaResponse.”
It is not the first time Drogba has had an ankle problem this season. He has made five Premier League starts this campaign, but could be displaced in Chelsea’s starting line-up at the Emirates Stadium if Costa or Remy is fit.
“Our target was for Diego to play the last four matches and Arsenal is the sixth match from the end,” Mourinho said last Friday. “He starts training with rest of the squad next week.”
Mourinho also reported Remy had a better than 50 per cent chance to play against United, although teenager Dominic Solanke was on the substitutes’ bench, with the France striker ruled out.