[8] He pitched for the Lakewood BlueClaws of the Single-A South Atlantic League in 2016, and finished the season with a 7–9 win–loss record and a 3.98 ERA.

[13] After the 2018 season, Gilbert pitched for the Tigres del Licey of the Dominican Professional Baseball League, with whom he had a 3.68 ERA.

[14] He played for the Dodgers during spring training in 2020 before the cancellation of the 2020 minor league season due to the COVID-19 pandemic.

[15] On December 12, 2020, the Arizona Diamondbacks selected Gilbert from the Dodgers organization in the minor league phase of the Rule 5 draft.

[16] He began the 2021 season with the Reno Aces of Triple-A West, and pitched to a 5–2 win–loss record and a 3.44 ERA with 50 strikeouts in 52+1⁄3 innings.

[17][18] He made his major league debut that night, throwing an inning as a relief pitcher without allowing a run.

[4] On August 14, 2021, Gilbert, making his first major league start, threw a no-hitter in a 7–0 Diamondbacks win against the San Diego Padres at Chase Field.

[21] In 2022, Gilbert made eight appearances (seven starts) for Arizona, registering an 0–3 record and 5.24 ERA with 20 strikeouts in 34+1⁄3 innings pitched.

Gilbert began the 2023 season with Triple–A Reno, making 21 appearances and logging a 6–3 record and 5.67 ERA with 65 strikeouts in 54.0 innings of work.

Following the season on November 6, Gilbert was removed from the 40–man roster and sent outright to Triple–A Reno; he subsequently elected free agency the same day.

[26] In 7 games (3 starts) for the Triple–A Louisville Bats, Gilbert struggled to a 13.11 ERA with 13 strikeouts and 24 hits across 11+2⁄3 innings pitched.