The 23-year-old defenseman scored 16 points (one goal, 15 assists) and had a plus-20 rating in 51 games this season. Lindgren, who set NHL career highs in points, plus/minus and hits (98), could have become a restricted free agent after this season.
Lindgren was out for New York's final five games of the season because of an upper-body injury sustained in a 4-0 loss to the New York Islanders on April 29.
The Rangers lost five of their last six games and will finish fifth in the MassMutual East Division. The top four teams (Pittsburgh Penguins, Washington Capitals, Boston Bruins and Islanders) qualified for the Stanley Cup Playoffs.
"I'm feeling a lot better," Lindgren said Monday. "Obviously never like missing games, especially at the end of the season, but just needed to take some time. I'm feeling better and better each day. Excited for the training and the offseason."
Lindgren has played 116 NHL games, all for the Rangers, who acquired him in a trade with the Boston Bruins on Feb. 25, 2018. He has scored 30 points (two goals, 28 assists) and is plus-30, and has one assist in three postseason games.