The Rangers claimed him off waivers on Dec. 2 from the Pirates, but designated him for assignment 10 days later. The Pirates reclaimed him, but also designated him for assignment after signing Daniel Hudson. Pittsburgh originally acquired him from Toronto for cash considerations on Oct. 5.
Dragmire went 4-6 with a 4.38 ERA (35 earned runs in 72 innings) over 45 relief appearances with Toronto's New Hampshire affiliate in the Eastern League in 2016, his first time pitching at the Double-A level.
The Rangers twice claimed Rollins off waivers, the last one coming Wednesday. He has switched teams five times this offseason.
Jenkins was designated for assignment by the Rangers on Tuesday when the club received Rollins from the Phillies. He was originally acquired by Texas, along with left-handed pitcher Brady Feigl, in exchange for right-handed pitcher Luke Jackson on Dec. 8.
T.R. Sullivan has covered the Rangers since 1989, and for MLB.com since 2006. Follow him on Twitter @Sullivan_Ranger and listen to his podcast. This story was not subject to the approval of Major League Baseball or its clubs.