Darvish will be re-evaluated Friday by Dr. Keith Meister. He missed the final seven weeks of the 2014 season with mild inflammation in his right elbow.
"This is nothing to worry about," Darvish said.
Darvish faced four batters. Alcides Escobar led off with a single and was forced at second by Jarrod Dyson's grounder. Eric Hosmer lined out to left field and Darvish struck out Kendrys Morales to end the inning.
"I was working on my location," Darvish said in a limited press conference afterward. "It didn't affect my location or the command of my pitches. I felt it warming up and didn't think too much of it. But it never loosened up."
Darvish is the second Rangers starter to have a physical issue. Derek Holland has been sidelined for the past week with soreness in his left shoulder. Holland is also expected to be examined by Meister on Friday.
T.R. Sullivan is a reporter for MLB.com. Read his blog, Postcards from Elysian Fields, and follow him on Twitter @Sullivan_Ranger. This story was not subject to the approval of Major League Baseball or its clubs.