Hatcher's injury continues a disastrous few days, during which Los Angeles has placed righties Hyun-Jin Ryu and Casey Fien on the DL while enduring setbacks for lefties Alex Wood and Clayton Kershaw.
Hatcher has appeared in 37 games this season, posting a 5.53 ERA in 40 2/3 innings. He allowed three runs without retiring a batter on Tuesday.
To replace Hatcher on the active roster, the Dodgers recalled infielder Charlie Culberson from Triple-A. Culberson batted .259/.286/.333 in 28 plate appearances for Los Angeles earlier this season.
With Corey Seager still sidelined with the stomach bug that has cost him the last two games, Culberson was in the lineup playing shortstop on Wednesday against Washington.
Manager Dave Roberts said Seager could have played if necessary but will benefit from an extra day of rest.
"With what Corey went through yesterday, and now you're looking at a night game and then we've got a [9 a.m.] game tomorrow, for me it just made sense to give him an extra day to recover," Roberts said.
Alex Putterman is a reporter for MLB.com based in Washington.