The right-hander said before Friday's game against Pittsburgh that he expects to start again next weekend at Colorado.
Davies said he first felt tightness in the shoulder during his start against the Chicago Cubs on April 29. He rested two days before beginning a throwing program on Wednesday while the team was in Cincinnati.
Davies threw again on Thursday. He was placed on the DL retroactive to Monday.
Right-hander Jorge Lopez was recalled Friday from Triple-A Colorado Springs to take Davies' spot on the roster.
Manager Craig Counsell said he didn't think that Davies' injury was serious.
Davies is 2-3 with a 4.24 ERA. He had a team-high 17 wins last season.