Stroman tweeted on Tuesday afternoon that he was "Officially a member of THE Toronto Blue Jays! Signed my contract. Beyond excited and blessed. Ready to work!"
Although details of the contract have yet to be officially confirmed by the club, ESPN's Keith Law reports that Stroman agreed to a signing bonus of $1.8 million, which was the recommended slot value for the No. 22 overall pick.
Stroman led all NCAA pitchers with 136 strikeouts in 2012, his junior year, and finished second in strikeouts per nine innings (12.49), while going 6-5 with a 2.39 ERA over 14 starts.
The Stroman signing comes two days after the Blue Jays signed their second-round Draft selection, Chase De Jong, right-hander out of Woodrow Wilson High School in Long Beach, Calif.
Toronto has now signed every player it selected from rounds one through 10, including its first-round compensation picks, and 25 of its 44 picks overall.
After the Blue Jays drafted Stroman, Sean Snedeker -- Duke's pitching coach -- raved to MLB.com about Stroman's abilities.
"I think the Blue Jays are in for quite a treat," Snedeker said. "The kid competes, he's athletic and he's as close to Major League ready right now as anybody I've ever had his age, and I've had roughly 40 Major League pitchers on my pitching staff in one shape or form. He's a good one. He has a huge heart. He is singularly focused on playing in the big leagues."
Stroman, who stands 5-foot-9, 185 pounds, has a mid-90s fastball and was considered the No. 10 prospect heading into the First-Year Player Draft by MLB.com.
Chris Toman is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.