[2] The San Diego Padres selected Robson in the 30th round of the 2012 Major League Baseball draft.

[6] The Detroit Tigers selected Robson in the eighth round of the 2016 Major League Baseball draft.

He split the 2017 season between the West Michigan Whitecaps and the Lakeland Flying Tigers, hitting a combined .303/.380/.392/.772 with three home runs and 45 RBIs.

On August 12, 2021, Robson was called up by the Tigers and promoted to the major leagues for the first time to replace the injured Niko Goodrum.

[14] In 2022, Robson played in 53 games for Triple-A Toledo, hitting .192/.318/.338 with 3 home runs, 17 RBI, and 13 stolen bases.

On April 18, 2024, Robson signed with the Gastonia Ghost Peppers of the Atlantic League of Professional Baseball.