Jaime signed as an amateur free agent with the Washington Nationals. In 2007, Jaime pitched for the Nationals team in the rookie-level Dominican Summer League. He logged a total of 26⅔ innings in 14 relief appearances, winning 3 games, losing none, and recording a 1.35 ERA. During this span, he struck out 34 batters while issuing just 14 bases on balls.
Arizona Diamondbacks
Following the 2010 season, Jaime was claimed off waivers from the Nationals by the Arizona Diamondbacks.[1] He was designated for assignment on August 13, 2011,[2]
Atlanta Braves
He subsequently signed a minor league contract with the Atlanta Braves on August 18.[3]
Jaime missed all of the 2010 and 2011 seasons due to Tommy John surgery, returning to baseball in 2012 with High-A Lynchburg.[4] As the team's closer, in 42 appearances, he was 1-3 with a 3.16 ERA and 18 saves, striking out 73 in 51.1 innings. Jaime played 2013 with Double-A Mississippi, where in 35 appearances, he was 2-5 with a 4.07 ERA, striking out 70 in 42 innings. Jaime began 2014 with Triple-A Gwinnett, where in 27 appearances as the team's closer, he was 1-0 with a 2.39 ERA and 13 saves, striking out 40 in 26.1 innings.
On June 19, 2014, Jaime was called up to Atlanta, replacing the injured Pedro Beato.[5] The next day, he made his major league debut, registering two strikeouts and preserving a tie in one inning of extra inning work against the team that originally signed him, the Washington Nationals.[6]
Jaime was designated for assignment by the Braves on April 13, 2015.[7]