The announcement comes as China battles a resurgence of COVID-19 cases.
Rumours are doing rounds that the Hangzhou Asian Games, scheduled to held from September 10 to 25, will be postponed due to the pandemic.
The Olympic Council of Asia had invited a quota of around 300 athletes and 150 support staff from Oceania nations, including Australia and New Zealand, to compete at the September 10-25 Games.
The selection trials are scheduled here from April 15 to 20.
This is for the first time since winning a gold medal at the New Delhi Commonwealth Games 2010, Deepika will be out of a multi-discipline showpiece event.
Borgohain defeated Railways' boxer Pooja, and Zareen got the better of Manju Rani, a silver-medallist from the 2019 World Championships.
BCCI secretary Jay Shah said honouring bilateral commitment was particularly important in a post-coronavirus world.
The All India Chess Federation is eyeing a rich medal haul from its players at the Games, which are scheduled to be held in Hangzhou, China, from September 10 to 25.
The badminton star shares her thoughts for the new year and career goals.
Official sources said that the delay was caused by the current COVID-19 crisis, and the recruitment process will be completed in due course.