A 6-foot-2 Ohio State University product, the No. 21 overall selection agreed to a $1.332 million signing bonus and will report to Class A Advanced Fort Myers on Sunday.
"I'm ready to get this show on the road," Wimmers said. "I had the summer to relax, but I missed pitching too much. I want to get things rolling."
Wimmers agreed to terms more than a week before the Aug. 16 signing deadline.
"I just wanted to get on that mound as soon as possible and start my professional career," Wimmers said. "It's actually been nice having the summer to relax and soak everything in, but at the same time, I continued to work out and throw."
A two-time Louisville Slugger First-Team All-American, the 21-year-old Wimmers earned 2010 National Pitcher of the Year honors from the College Baseball Foundation.
"We are thrilled to have Alex on board in this organization," Twins scouting director Deron Johnson said in a press release. "He is a guy that we targeted from the start of the spring. We have watched him the last couple of years and he fits the mold that we like.
"As a starter, he has four pitches that he can throw for strikes, including a great changeup. He throws strikes and pitches with no fear. Alex may not overpower people with his fastball, but he has tremendous command, which is proven by his success over the last couple of years at Ohio State."
Wimmers went 9-0 with a 1.60 ERA over 10 starts for the Buckeyes in his junior season, logging two complete games. As a sophomore, he tossed the first nine-inning no-hitter in program history.
John Barone is an associate reporter for MLB.com This story was not subject to the approval of Major League Baseball or its clubs.