He threw two no-hitters, was the team's best hitter his senior year, and Perfect Game USA ranked him #88 out of the top 1000 HS players, and was the eighth-best left-handed pitcher.

[5] Crawford did not make the Blue Jays out of spring training, but on April 13, 2012, he was called up to the active roster to fill the vacancy created when Sergio Santos took a three-day paternity leave.

Upon Santos's return, left hander Aaron Laffey was optioned to Triple-A, allowing Crawford to remain on the active roster.

[6] Crawford made his first career appearance on Jackie Robinson day (April 15), pitching a scoreless 9th inning in an 8–2 win over the Baltimore Orioles.

After his second appearance on the 19th (another scoreless inning), Crawford was sent down to the minors immediately after the game to make room for Drew Hutchison.

After spending the first part of the 2013 season in the minor leagues, Crawford was designated for assignment by the Blue Jays on June 8, 2013, to make room for Dustin McGowan on the roster.

On December 12, 2013, Crawford was selected by the Chicago White Sox in the minor-league phase of the Rule 5 draft.