As a junior in 2019, he was named The Daytona Beach News-Journal Baseball Player of the Year after hitting .414 with 36 stolen bases.
Over 126 games between the two teams, he compiled a slash line of .245/.340/.384 with 12 home runs, 67 RBI, and 55 stolen bases while being caught nine times.
[15] Veen spent the 2023 season with the Double–A Hartford Yard Goats, playing in 46 games and hitting .209/.304/.308 with 2 home runs, 24 RBI, and 22 stolen bases.
On June 21, 2023, it was announced that Veen would undergo season–ending surgery to repair tearing and fraying to a ligament in his left hand.
[16] Veen split the 2024 campaign between the rookie–level Arizona Complex League Rockies, Spokane, Hartford, and the Triple–A Albuquerque Isotopes.