"I felt a little tweak," he said. "I pitched to the next two batters and I was like, 'No, I don't think this is a good idea to go back out."
During his 38-pitch outing, Bedard yielded two runs on three hits and two walks with one strikeout. The inning began with consecutive hits by Leonys Martin, Elvis Andrus and Carlos Peguero.
The original plan called for Bedard to throw around 60 pitches. Right-hander Jeremy Kehrt replaced him in the second inning.
Prior to Friday's outing, Bedard was having a good spring, allowing one run over four innings in two Cactus League games. The 36-year-old lefty is attempting to crack the rotation when camp breaks, but he could be ticketed for Triple-A and used as reinforcement.
Bedard doubts Friday's early exit will delay him further in his preparation for the regular season.
"I think I'll be fine," he said.
Alyson Footer is a national correspondent for MLB.com. Follow her on Twitter @alysonfooter. This story was not subject to the approval of Major League Baseball or its clubs.