NEW YORK — Boston Red Sox manager Alex Cora said Saturday that Alex Bregman felt good after starting a running program at Fenway Park but is still far from returning from a strained right quadriceps.

“The progression is going well,” Cora said before the Red Sox continued their series against the New York Yankees. “Let’s see how he feels tomorrow and then we’ll go from there, and obviously we’re still far away from him starting the baseball progression.”

Bregman has been out since May 23 with a significant strain, similar to his left quad strain that cost him 58 games for the Houston Astros in 2021.

Bregman started the running program Thursday. He will also have Sunday off before resuming running later next week.

Signed by the Red Sox as a free agent to a $120 million, three-year deal during the offseason, Bregman was hitting .299 and 11 homers and 35 RBI.

Marcelo Mayer, who hit his first career homer in Friday’s 9-6 loss, has made 10 starts at third base but was not in the lineup against left-hander Ryan Yarbrough and will likely be out of the lineup against southpaw Carlos Rodón on Sunday.

The Red Sox entered Saturday with nine losses in 13 games since Bregman was injured.

Cora also said Kutter Crawford is likely to throw a bullpen session at the end of next week as he tries to prepare for a minor league rehabilitation assignment. On Friday, Cora said Crawford was likely to throw a bullpen session this weekend.

Crawford hasn’t pitched in a game this year because of patellar tendinitis in his right knee. Cora had said Monday that the 29-year-old right-hander would start a rehab assignment this week, then said the following day that Crawford felt wrist pain. He said Friday that Crawford does not have any structural damage.

The Atlanta Braves designated nine-time All-Star reliever Craig Kimbrel for assignment Saturday.

Kimbrel, 37, made his season debut Friday night and allowed one hit in a scoreless seventh inning in Atlanta’s 5-4 10-inning loss at San Francisco. The right-hander had one walk and one strikeout and threw 14 pitches.

Kimbrel, who began his career in Atlanta in 2010, was called up from Triple-A Gwinnett prior to Friday’s game against the Giants. He signed a minor league deal with the Braves in March.

Kimbrel led the National League in saves in four straight seasons with the Braves from 2011 to ’14.

He ranks fifth all time with 440 saves and has a 2.59 ERA in 838 career games (no starts) over 16 seasons with eight teams.

Atlanta recalled left-hander Austin Cox, 28, from Triple-A Gwinnett in a corresponding transaction. He last pitched in the majors with the Kansas City Royals in 2023.

Also Saturday, the Braves claimed right-hander Jose Ruiz off waivers from the Philadelphia Phillies.

The 30-year-old was 1-0 with an 8.16 ERA in 14 1/3 innings for the Phillies this season.

Information from Field Level Media was used in this report.

ST. LOUIS — Tony Gonsolin was placed on the 15-day injured list Saturday by the Dodgers because of right elbow discomfort, joining fellow rotation members Tyler Glasnow, Roki Sasaki and Blake Snell among 14 Los Angeles pitchers on the IL.

NL West-leading Los Angeles activated relievers Kirby Yates from the 15-day IL and Michael Kopech from the 60-day IL before Saturday’s game against St. Louis and designated right-hander Chris Stratton for assignment, one day after he rejoined the team.

Gonsolin, a 31-year-old right-hander, made his season debut on April 30 after recovering from Tommy John surgery on Aug. 18, 2023, and was 3-2 with a 5.00 ERA in seven starts. He last pitched Wednesday in a 6-1 loss to the New York Mets, allowing three runs — two earned — three hits and three walks in five innings.

Other Dodgers pitchers on the IL are right-handers Luis Garcia, Brusdar Graterol, Michael Grove, Edgardo Henriquez, Kyle Hurt, Evan Phillips, River Ryan, Emmet Sheehan, Gavin Stone and Blake Treinen.

Kopech, a 29-year-old right-hander, had been sidelined since spring training with right shoulder impingement and had a 15.63 ERA in nine rehab appearances with Triple-A Oklahoma City from May 8 through last Sunday.

Yates, a 38-year-old right-hander, had been sidelined since May 17 because of a strained right hamstring. He is 3-2 with a 4.34 ERA in 22 relief appearances, striking out 31 and walking six in 18⅔ innings.

Stratton, 34, signed with the Dodgers on May 25, three days after he was released by Kansas City. He was designated for assignment on June 2, refused an outright assignment to Oklahoma City, then re-signed with the Dodgers a day later. He has made a pair of appearances for Los Angeles, totaling three innings.