Daredevils will also be without Indian batsman Saurabh Tiwary, who has been sidelined by an injured shoulder without playing a game this season.
Tahir is expected to be available for Daredevils' match against Kolkata Knight Riders in Delhi on May 7 and is likely to strengthen a weak spin attack. Left-arm spinner Shahbaz Nadeem has taken only five wickets in seven games and has an economy of 7.70. Legspinner Rahul Sharma has played only two matches for Daredevils this season, while part-time offspinner JP Duminy has been wicketless in 14 overs.
Daredevils lost Coulter-Nile to a hamstring injury in their second match of the season, against Royal Challengers Bangalore. They have won only two of their first seven matches.