The Dodgers designated Little for assignment Monday.

The move frees up a spot on the 40-man roster for first baseman Luken Baker, whom the Dodgers claimed off waivers from the Cardinals. Little has made two relief appearances at the big-league level this season, allowing two runs over three innings.

The Cardinals claimed Veneziano off waivers from the Marlins on Monday.

Veneziano has made 24 relief appearances in the majors this season, collecting a 4.71 ERA and 20:10 K:BB over 21 innings. He will report to Triple-A Memphis, where he will provide St. Louis with some experienced left-handed relief depth.

Rockies interim manager Warren Schaeffer said Monday that Halvorsen has been diagnosed with a mild flexor strain in his right elbow and could be activated from the 15-day injured list prior to the end of the season, Thomas Harding of MLB.com reports.

Halvorsen was pulled after just five pitches in his relief appearance in the ninth inning of Saturday's 8-5 win over the Pirates and landed on the IL a day later. The good news for Halvorsen and the Rockies is that the 25-year-old does not have a serious injury that would have necessitated surgery, and if all goes smoothly in his recovery process, he could be back in action at some point in the next few weeks. Halvorsen has collected a 4.99 ERA, 1.56 WHIP and 36:21 K:BB across 39.2 innings this season and has converted on 11 of 14 save attempts. Schaeffer mentioned Victor Vodnik and Juan Mejia as the top candidates to close games for the Rockies while Halvorsen is on the shelf.

The Diamondbacks placed Ginkel on the 15-day injured list Monday due to a sprained right shoulder, retroactive to Sunday.

Ginkel was slated to be in the closer mix after Shelby Miller (forearm) was traded to the Brewers, but the former will be shut down from throwing and undergo further tests to determine the severity of the injury. With Ginkel sidelined, Kendall Graveman and Jalen Beeks could be in line for closing duties.

The Diamondbacks recalled Hoffmann from Triple-A Reno on Monday.

Hoffmann will take a spot on the Diamondbacks' 26 man roster that was vacated by Kevin Ginkel, who was placed on the 15-day injured list due to a sprained right shoulder. Hoffmann was acquired by the Diamondbacks from the Royals on July 26 in exchange for Randal Grichuk. Hoffmann has spent most of the season in Triple-A, where he has a 2.14 ERA, 1.14 WHIP and 56:12 K:BB across 42 innings. He made his major-league debut for the Royals on May 30.

Miller (elbow) will throw a live batting practice session Monday, Justice delos Santos of The San Jose Mercury News reports.

It would appear to be the first time Miller has faced hitters since he was shelved a month ago with a sprained left elbow. He's expected to require at least a couple rehab appearances before rejoining the Giants' bullpen, setting Miller up to return around mid-August if all goes well.

The Pirates designated Cabrera for assignment Monday.

The transaction clears spots on the 26-man active roster and 40-man roster for right-hander Johan Oviedo (lat/elbow), who was activated from the 60-day injured list ahead of his start in Monday's contest versus the Giants. Cabrera has made 24 relief appearances at the big-league level in 2025 while splitting time between three different teams, posting a 5.79 ERA and 22:7 K:BB over 28 frames.

The Mets optioned Warren to Triple-A Syracuse on Monday.

After starter Frankie Montas was tagged for seven earned runs in four innings in Sunday's 12-4 loss to the Giants, Warren stepped in admirably to save the New York bullpen from overuse. He struck out five over four shutout frames in relief, but because he was unlikely to be available for at least a couple of days following the 58-pitch appearance, he'll be swapped out in favor of a fresh arm. Right-hander Dom Hamel was called up from Syracuse to replace Warren in the bullpen.

Morgan (elbow) has built back up to throwing off a mound, but he's without a definitive target date for a return from the 60-day injured list, MLB.com reports.

Morgan is dealing with a right elbow impingement, which has kept him out since the middle of April. After beginning a rehab assignment in June, the veteran reliever suffered a setback, and he's been slowly building himself back up since then. While his ability to throw off a mound is a good sign, Morgan doesn't appear particularly close to returning from the 60-day injured list.

Lucchesi threw a scoreless inning in Sunday's 12-4 win over the Mets, allowing two hits while striking out one.

Lucchesi delivered a bounce-back performance after surrendering two earned runs on just 11 pitches over one-third of an inning during Friday's win over the Mets. While it took the 32-year-old 23 pitches to escape the inning Sunday, he stranded two Mets runners. He now owns a 2.41 ERA, 1.02 WHIP and an 18:3 K:BB across 18.2 innings in 18 outings this season.