Dykstra split the 2014 season between the Single–A Kannapolis Intimidators and High–A Winston-Salem Dash, accumulating a 9–11 record and 3.43 ERA with 128 strikeouts across 25 combined starts. On April 15, 2015, while playing for Winston-Salem, Dykstra threw a seven–inning no-hitter.[5] In 25 games (19 starts) for the Dash in 2015, he recorded a 7–10 record and 3.51 ERA with 87 strikeouts across 128+1⁄3 innings pitched.[6]
Dykstra spent the 2016 season with the Double–A Birmingham Barons, making 28 appearances and pitching to a 4–9 record and 4.93 ERA with 66 strikeouts across 102+1⁄3 innings.[7]
Texas Rangers
On December 16, 2016, Dykstra was traded to the Texas Rangers in exchange for cash considerations.[8] He split the 2017 season between the Double–A Frisco RoughRiders and Triple–A Round Rock Express, making 29 combined appearances and logging a cumulative 2–10 record and 5.86 ERA with 70 strikeouts in 98+1⁄3 innings.[9] Dykstra returned to Frisco to begin the following season, but struggled to a 14.85 ERA in 5 appearances prior to being released on April 23, 2018.[10]
On February 7, 2019, Dykstra's contract was purchased by the Cincinnati Reds.[12] However, prior to the season on March 26, he was released by the Reds organization.[13]
On December 9, 2019, Dykstra's contract was purchased by the Toronto Blue Jays organization.[16] He did not play in a game in 2020 due to the cancellation of the minor league season because of the COVID-19 pandemic.[17] Dykstra elected free agency following the season on November 2, 2020.[18]
On February 23, 2021, Dykstra re–signed with the Blue Jays organization on a minor league contract.[14] He split the year between the rookie–level Florida Complex League Blue Jays, Single–A Dunedin Blue Jays, Double–A New Hampshire Fisher Cats, and Triple–A Buffalo Bisons. In 11 appearances split between the four affiliates, Dykstra logged a cumulative 4.76 ERA with 18 strikeouts across 11+1⁄3 innings of work. He elected free agency again following the season on November 7.[19]
Guerreros de Oaxaca
On April 11, 2022, Dykstra signed with the Guerreros de Oaxaca of the Mexican League.[20] In 17 games for Oaxaca, Dykstra struggled to a 7.27 ERA with 23 strikeouts and 5 saves in 17+1⁄3 innings.
Philadelphia Phillies
On July 4, 2022, Dykstra signed a minor league contract with the Philadelphia Phillies.[21] In 6 appearances for the Triple–A Lehigh Valley IronPigs, he logged a 5.06 ERA with 4 strikeouts in 5+1⁄3 innings of work. Dykstra was released by the Phillies organization on August 4.[22]
In 2023, Dykstra made 21 appearances for Southern Maryland, registering a 5.40 ERA with 19 strikeouts and 3 saves across 21+2⁄3 innings pitched. He was released by the Blue Crabs on July 6, 2023.[14]
Chiba Lotte Marines
On December 24, 2023, Dykstra signed with the Chiba Lotte Marines of Nippon Professional Baseball.[23] He made 3 appearances for the main team in 2024, recording a 1.64 ERA with 11 strikeouts across 11 innings pitched. Dykstra was released by the Marines on July 24, 2024.[24]