Mohanty, 57, who also holds the portfolios of tourism, culture, planning, and coordination, was injured after being shot at by unknown assailants February 21 at his home town Puri, 55km from Bhubaneswar.
Two to three people fired at him when he was returning home on his bike. The minister sustained multiple injuries in hand and waist and is now recuperating at Kalinga hospital in the state capital.
The condition of the minister has improved but is not stable, hospital's managing director RK Padhi said.
The minister's son Sunil Mohanty lodged an FIR on Sunday.