Brown (shoulder) will begin a rehab assignment with Double-A Corpus Christi on Sunday, Brian McTaggart of MLB.com reports.
Brown threw live batting practice earlier this week and is ready for game action as he recovers from a shoulder strain. The right-hander isn't eligible to return from the 60-day injured list until the end of May, but a June return might be more plausible given the length of his layoff. Brown last pitched March 31 and posted a 0.84 ERA and 17:6 K:BB across 10.2 inning in his first two starts of the season before being shut down.