Drury was injured during a scrimmage in the first week of training camp.
Drury suffered a broken finger during a scrimmage on Monday and is expected to miss around a month.
Drury is expected to miss the teams preseason and the regular season’s first four games.
Drury is coming off a career low in goals with only 14 and only 32 points as the Rangers missed the NHL Playoffs. Drury was the captain of last seasons team.