Lawrence was optioned to Triple-A Albuquerque on Saturday, Thomas Harding of MLB.com reports.
Lawrence appeared in five games this spring, surrendering three earned runs on four hits while striking out five over five innings. The right-hander will begin the season at the minor-league level, but considering the lack of top-tier options in the bullpen for the Rockies, he'll likely rejoin the big-league squad at some point in the coming months.