[2] After he signed with the Marlins, he spent the rest of the 2013 season with both the Gulf Coast Marlins of the Rookie-level Gulf Coast League and the Batavia Muckdogs of the Class A-Short Season New York-Penn League, pitching to a combined 0–1 win–loss record and 7.07 earned run average (ERA) in 14 innings pitched.

He spent the 2014 season with the Greensboro Grasshoppers of the Class A South Atlantic League, compiling a 3–1 record and 2.70 ERA in 28 relief appearances.

In 2015, Kinley played for the Jupiter Hammerheads of the Class A-Advanced Florida State League, pitching to a 1–3 record and 3.25 ERA in 44+1⁄3 innings.

[3] In 2016, Kinley began the season with the Jacksonville Suns of the Class AA Southern League, where he pitched to a 3.96 ERA with 51 strikeouts in 50 innings.

[15] On the year, he made 25 total appearances for Colorado, recording an excellent 0.75 ERA with 27 strikeouts in 24.0 innings pitched On November 18, 2022, Kinley signed a three-year contract extension with a club option for 2026 with the Rockies.

[5] However, a journalist who investigated his family history later reported that they were not related and traced Kinley's lineage back to farmers in North Carolina.