Ravindra has missed the T20I and ODI matches against the tourists due to a shoulder injury, while Conway suffered a concussion during a pre-ODI-series training session in Auckland.
A New Zealand statement said wicketkeeper Tom Blundell is also recovering from a quadriceps injury, with all three players "working through their respective injuries and aiming to be available for the first Test".
The Black Caps squad has a similar look to the one the beat England away from home earlier this year, with Kane Williamson having now retired from international cricket.
The first Test against India starts on 19 November in Wellington, with the second and final game of the series set to begin in Christchurch on 27 November.
The series is crucial for both teams in their quest to make the World Test Championship (WTC) final in June 2027. New Zealand are currently top of the table, but both South Africa and Australia are within touching distance of their percentage of points.
New Zealand Test squad: Tom Latham (captain), Tom Blundell (wk), Devon Conway, Jacob Duffy, Matt Henry, Kyle Jamieson, Daryl Mitchell, Henry Nicholls, Glenn Phillips, Rachin Ravindra, Mitchell Santner, Nathan Smith, Blair Tickner, Will Young
New Zealand's bowling unit fought hard to defend a low total but India came out on top by four runs (DLS method) in the second ODI in Wellington as the visitors went 2-0 ahead in the five-match series.
New Zealand fast bowler Jacob Duffy believes Virat Kohli remains one of the most difficult batters to contain, after witnessing the Indian star produce a match-winning performance at Eden Park.
Arshdeep Singh took four wickets before Virat Kohli hit 74 as India beat New Zealand by five wickets in a rain-affected first of five ODIs that was played in Auckland on Wednesday.
New Zealand batter Devon Conway has been ruled out of the first ODI against India after he took a blow to the head after colliding with teammate Matt Henry during training.
