Darvish said following the game that the blister didn't bother him during the start and that he expects to take his next turn in the rotation Friday in Seattle.
Angels starter Jered Weaver, meanwhile, departed in the sixth inning. The All-Star right-hander grabbed his left, non-throwing arm after falling off the mound trying to avoid a batted ball by Mitch Moreland, the first batter of the inning. Manager Mike Scioscia and a trainer immediately came to the mound, and Weaver almost as quickly was walking off it.
The Angels said Weaver has a strained left elbow. X-rays were negative.
Scioscia said after the game that they'll give it a day or two before determining if Weaver can make his next start. The Angels have an off day on Monday, and Weaver said the extra time could help him.
"I get an extra day, so hopefully that helps out a little bit," Weaver (0-1) said after allowing five runs in five innings. "The trainer said we'll be able tell more in the next couple of days when the swelling goes down. Right now, I don't know. I'm not sure."
Darvish also developed a blister during his near-perfect game against the Houston Astros on Tuesday. He pitched the last three innings against the Astros with it, coming within an out of the 24th perfect game in major league history.
Darvish described the ailment more as the skin coming off an area of the finger, although the team termed it a blister.
"I don't think it's going to affect my start next time," Darvish said. "I just need to prepare my best to start next time."
Darvish (2-0) threw 85 pitches against the Angels. He allowed three runs on six hits, four walks and a hit batter to go with six strikeouts.
"I had trouble with my control," Darvish said. "I made the best of the situation."
Weaver, who won 20 games for the first time in his career in 2012, said his elbow feels a little swollen and pretty painful.
"It feels like a really bad jam, like I jammed it," Weaver said. "I can't move it around too good right now. It's strange. Kind of like jamming your thumb.
"I didn't feel anything pop or crack. So that's always a good sign. I think it's like when you jam your thumb pretty bad. That's what I'm feeling in my elbow."
Weaver slipped on the mound and tried to catch himself as Moreland's line drive whistled over his back for a single. Weaver was replaced by ex-Ranger Mark Lowe, who gave up Ian Kinsler's three-run homer to give Texas a 7-3 lead.
Weaver said trying to do two things at once -- avoid the liner and brace his fall -- isn't the easiest.
"If I was able to land right, everything would have been fine," Weaver said.
"Knowing that you're falling on the ground and having something come back at you. You're worried about falling down after you slip, then the next thing you know there's a bullet coming back at you."
Todd Willis is a contributor to ESPNDallas.com.