He has pitched one inning in relief since then, facing the New York Yankees last Wednesday.
Feliz, who turns 24 on Wednesday, was given more time between starts so that his innings can be controlled. He was the Rangers' closer for the past two seasons.
Manager Ron Washington has been working on keeping his rhythm between starts in various ways.
"He's been doing it, long-tossing, bullpens," Washington said before Monday's game at Rogers Centre. "He got that one inning in. He's fine. I don't think the rest is going to make him erratic in any sense."
Feliz is 1-1 with a 2.70 ERA in his first three Major League starts. In his one relief appearance he gave up a home run.