Latos was put on the disabled list on March 22 with bursitis in his right shoulder.
"it's time to get him back on the horse," Black told MLB.com's Corey Brock.
Latos threw 70 pitches in a minor league simulated game on Monday in Arizona and won't be on a pitch count, Black said.
Latos went 14-10 last season with a 2.92 ERA and emerged as the team's ace, even though he didn't turn 23 until after the season.
Last year Latos didn't face the Reds, but in 2009 he allowed just a hit in seven innings in Cincinnati in just his third big league start.