Hampton is 4-5 with a 4.70 ERA in 12 starts this year for the Astros. The move is retroactive to June 14, and Hampton will be eligible to come off the DL on June 29. The club recalled left-handed reliever Wesley Wright from Triple-A Round Rock to take Hampton's roster spot.
Hampton strained his groin on the last pitch he threw Friday against the D-backs in Arizona.
Backe missed two months with a strained ribcage muscle and has made four relief appearances this year, posting a 12.00 ERA. He's allowed 17 hits and 12 runs in nine innings.
Brian McTaggart is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.