Leg-spinner Anil Kumble's father K N Krishnaswamy passed away at a hospital in Bangalore on Monday night after a brief illness.
Krishnaswamy was 68 and is survived by his wife and two sons.
Kumble has opted out of Thursday's triangular series one-day game against New Zealand in Cuttack following his father's demise.
"Kumble has informed the board of his unavailability
"Sairaj Bahutule is likely to replace Kumble but a final decision would be taken by the selectors and the team management," Nair added.
Kumble would join the team for the November 12 match here against Australia.