Devon Conway, a key batsman for the Chennai Super Kings, has been ruled out of IPL 2024 due to injury.
The New Zealand batsman scored 924 runs in 23 matches for CSK in the last two seasons.
The 36-year-old Gleeson has 101 wickets in 90 T20 matches.
Richard Gleeson, an English fast bowler, will take Conway's place in the squad.
Gleeson dismissed Rohit Sharma, Virat Kohli, and Rishabh Pant on his T20I debut for England.
MS Dhoni, Ruturaj Gaikwad, Ajinkya Rahane, Richard Gleeson, Ravindra Jadeja, Moeen Ali, Mitchell Santner Devon Conway...,.