Hoffmann hasn't pitched since being optioned to Triple-A Reno on Aug. 20 while dealing with fatigue, Alex Weiner of ArizonaSports.com reports.

Reno hasn't yet placed Hoffmann on its injured list, so he could be back in action within a few days. Hoffmann has posted a 6.55 ERA and 2.00 WHIP over 11 innings in 10 appearances at the MLB level with the Royals and Diamondbacks this season.

DeSclafani (thumb) is expected to face live hitters Tuesday, Alex Weiner of ArizonaSports.com reports.

DeSclafani has been sidelined since Aug. 13 while dealing with right thumb inflammation, but he will now take a significant step in his recovery. If Tuesday's session goes well, the Diamondbacks will likely start to put together the framework for a minor-league rehab assignment for DeSclafani in the coming weeks.

Miller exited Wednesday's game against the Phillies in the top of eighth inning with an apparent injury, Jack Stern of BrewerFanatic.com reports.

Miller threw eight pitches in the top of the eighth inning, allowing one run on two hits, before the Brewers' trainer came out to the mound to examine the right-hander. Miller was removed from the game and replaced Rob Zastryzny. Milwaukee has an off day Tuesday before resuming its series with Philadelphia on Wednesday.

O'Brien (shoulder) was cleared to play catch Monday and could avoid the 15-day injured list, Daniel Guerrero of the St. Louis Post-Dispatch reports.

O'Brien underwent an MRI on Monday due to lingering right shoulder discomfort, but the Cardinals were encouraged by the imaging results and the reliever was allowed to resume throwing. While a stint on the IL has not been ruled out, O'Brien will be given a couple days to continue to recover to see if a long-term absence can be avoided. The 30-year-old has emerged as a late-inning bullpen arm for St. Louis this season, collecting a 1.69 ERA and 35:17 K:BB over 37.1 innings while notching two saves.

Leasure retired all four batters faced to earn the save in Monday's 6-5 win at Minnesota. He struck out two.

The Chicago reliever required only 14 pitches to notch his first four-out save of the season. With Leasure, Grant Taylor, Mike Vasil, and Steven Wilson all collecting saves in August for the White Sox, the team is in a full blown closer-by-committee situation. Through 52 total frames, Leasure has pitched to a 4.15 ERA, 1.35 WHIP and impressive 11.8 K/9, which should keep him in the mix for occasional save opportunities going forward.

Alexander (5-13) picked up the win in Monday's game against Minnesota, allowing one run on two hits and no walks with one strikeout.

The 31-year-old southpaw was credited with the victory after the White Sox scored two runs in the eighth to take the lead. Alexander didn't have his sharpest outing himself, yielding a run on a Brooks Lee single in the seventh. The Chicago lefty continues to pitch in long relief and is not worthy of fantasy consideration due to a 4.85 ERA, 1.37 WHIP and 74:28 K:BB across 89 total frames.

Sommers (0-1) allowed three runs on two hits across an inning of relief to take the loss in Monday's game against the Mets. He struck out one.

With Detroit starter Charlie Morton only lasting 3.2 innings, Sommers came on in the middle of the contest and struggled against a potent New York lineup. The key hit against the rookie lefty was a two-RBI triple by Juan Soto, who then came around to score on a Brandon Nimmo single. Sommers has now allowed at least one run in three of his first four MLB appearances, and he's sitting with an ugly 18.00 ERA.

The Rangers activated Martin (calf) from the 15-day injured list Monday.

Martin has missed most of the second half with a left calf strain but has been cleared to return after tossing a scoreless inning in a rehab appearance with Double-A Frisco over the weekend. The 39-year-old will re-enter the late-inning mix for the Rangers, potentially even seeing some save chances in September.

Chapman collected the save in Monday's 6-4 victory over the Guardians, pitching a clean inning with one strikeout.

The flamethrowing southpaw required only five pitches to pocket his 363rd career save. Chapman has notched 16 consecutive scoreless appearances over which he's fired 12.2 hitless frames with a 16:4 K:BB and 11 saves. The 37-year-old has reentered the discussion as one of the elite fantasy closers this season thanks to his 1.00 ERA, 0.65 WHIP and 77:14 K:BB across 54 total innings.

The Diamondbacks activated Thompson (shoulder) from the 15-day injured list Monday.

Thompson has been shelved since early July with a right scapular strain but is ready to go after making a pair of scoreless rehab appearances with Triple-A Reno. The 33-year-old could be in the mix for saves as part of an unsettled Diamondbacks bullpen.