Lindgren signed for $1.1 million, according to the New York Post, slightly above the recommended slot bonus of $1,018,700. Lindgren is expected to begin his professional career with either Class A Charleston or Short-Season Class A Staten Island.
In 26 appearances this season for the Bulldogs, the 21-year-old Lindgren was 6-1 with three saves and a team-leading 0.81 ERA. He ranked first among all relievers nationally with 100 strikeouts, leading the nation with 16.3 strikeouts per nine innings.
Lindgren recently said that his pitching style has been compared to that of former Yankee and current Tigers reliever Phil Coke.
During MLB Network's coverage of the Draft, it was mentioned that Lindgren could be the first member of this class to make it to the Majors. Lindgren said that he didn't hear that comment because he was celebrating, but word of it has trickled back to him.
"I think that's pretty cool that people think that, but making it to the big leagues is not easy," Lindgren said. "It's going to take hard work. I have to keep developing my game and getting better one day at a time. If the Yankees think it's my time to go up, I'm ready for it."
The Yankees also announced the signings of: right-hander Austin DeCarr (third round), right-hander Jordan Foley (fifth round), right-hander Jonathan Holder (sixth round), left-hander Derek Callahan (16th round), right-hander Corey Holmes (20th round) and right-hander Lee Casas (28th round).
New York also signed post-Draft free agent right-hander Michael Noteware from Lewis-Clark State College in Idaho.
Bryan Hoch is a reporter for MLB.com. Follow him on Twitter @bryanhoch and read his MLBlog, Bombers Beat. This story was not subject to the approval of Major League Baseball or its clubs.