Betts left in the second inning on Sunday at Globe Life Park due to a right shoulder contusion.
Betts, who has been red hot this season, singled to start off the game.
Betts was hit in the right shoulder blade with a throw from Rangers first baseman Ronald Guzman while running from first to second base on Andrew Benintendi's grounder to first during the first inning. They had scored the go-ahead run in the top of the ninth, after Joe Kelly struck out the only two batters he faced when the Rangers had the bases loaded in the eighth.
The Red Sox should pass along an update on Betts' condition later today.
"There's been a few times, because Dellin's thrown the ball so well, that we've been wanting to extend him past an inning, and this was the first time we did it". "So I think it's just incredible and a testament to how hard that he works, that he was able to still come back here and still compete at a very high level like we all know he can".
The Red Sox outfielder entered Saturday's game just 2-for-26 this season against southpaws and figured to have a tough matchup against Rangers veteran Cole Hamels.
The Rangers have lost their first six home series in a season for the first time. He then dropped a bloop double into short left against side-arming lefty reliever Alex Claudio in the seventh, one of the keys to a 6-5 comeback victory.
Rosario, Twins Top White Sox
Farm report: For Double-A Birmingham on Sunday, outfielder Eloy Jimenez was 2 for 3 with two RBIs in a 6-2 loss at Tennessee. The Twins took the long way there but they did what they should have been expected to do this weekend in Chicago .
"A couple of mistakes that got us", manager Jeff Banister said. I thought his poise, under control, everything, went well. "His approach is the right one".
"That was the only guy we were undecided about", Cora said. He might be pulling off a little bit, just a tick, but it's not like he's taking awkward swings against them. He has allowed only seven hits and two runs in 14 2-3 innings, with 21 strikeouts and four walks. "For him to do it in that game, it's kind of appropriate".
"I think it's just kind of a mental thing", Benintendi said.
Kimbrel has continued his all-star play for the Red Sox despite missing much of the spring-training schedule.
"He's OK", Cora said. "If we want to get to where we want get, we have to take care of those outs. You can't give them away".
Kimbrel has a 1.23 earned-run average in 15 appearances for the Red Sox this season.