[2] After signing, Lawrence made his professional debut with the Boise Hawks before being reassigned to the Grand Junction Rockies.

[6] Lawrence spent the 2019 season with the Hartford Yard Goats and the Albuquerque Isotopes, going 1–5 with an 8.76 ERA, striking out 32 over 37 relief innings.

On January 17, 2020, Lawrence was suspended without pay for 80 games for testing positive for the performance enhancing substance dehydrochlormethyltestosterone.

In the game, he notched his first major league strikeout, punching out Arizona Diamondbacks infielder Eduardo Escobar.

On October 3, 2022, Lawrence tossed a scoreless ninth inning against the Los Angeles Dodgers to earn his first career save.