The White Sox sent Booser (shoulder) to Triple-A Charlotte on Tuesday to begin a rehab assignment.

Booser has been cleared to pitch in games after missing the last two-plus weeks with a left shoulder strain. Because his absence has been relatively brief, Booser shouldn't require too many rehab outings before rejoining Chicago's bullpen.

The Yankees designated Hartlieb for assignment Wednesday.

Hartlieb will give up his spot on the 40-man roster and 26-man active roster to right-hander Cam Schlittler, who was called up from Triple-A Scranton/Wilkes-Barre to start Wednesday's game against the Mariners. Hartlieb has made two appearances out of the Yankees bullpen this season, giving up six earned runs in 1.1 innings.

Rodriguez (forearm) yielded one hit and struck out one over a scoreless frame in his first rehab appearance with Triple-A Durham on Tuesday.

It was Rodriguez's first outing in nearly a month, as he is working his way back from a right forearm strain. If all goes well, Rodriguez should have a shot to return before the All-Star break. He's collected a 2.08 ERA and 25:6 K:BB over 30.1 innings out of the Rays' bullpen this season.

Harvey (shoulder) resumed throwing off a mound at the end of June, MLB.com reports.

Working his way back from a right teres major strain, Harvey is continuing with his throwing progression at the Royals' spring training complex in Arizona. A rehab assignment would seem to be around the corner. Harvey has been shelved since mid-April.

Vest worked around a hit to toss a scoreless inning of relief and earn the save in Tuesday's 4-2 win over the Rays. He struck out three.

Vest continued his strong recent stretch of play, as he's now rattled off seven straight scoreless appearances, and he's struck out 11 batters during that time. The veteran righty is starting to pull away as Detroit's top closing option, as he has a team-high 15 saves compared to nine for Tommy Kahnle. Kahnle only has two saves since the beginning of June, while Vest has compiled seven saves over that stretch. Both players have pitched well and deserve attention in fantasy leagues, but Vest is the preferred target at the moment.

Cantillo didn't factor into the decision Tuesday against the Astros, giving up three runs on five hits and three walks in four innings. He struck out seven.

The seven strikeouts were a season high for Cantillo, who produced his longest outing of the year. The 25-year-old left-hander generated 15 whiffs on the evening, but he's now walked a trio of batters in each of his two starts since joining Cleveland's rotation. Cantillo owns a serviceable 3.79 ERA and 48:20 K:BB over 35.2 innings, but his 1.46 WHIP is a cause for concern. He should still carry some streaming appeal this weekend in scheduled matchup against the lowly White Sox.

Duran was unavailable for Tuesday's 8-1 win over the Cubs due to an illness, Dan Hayes of The Athletic reports.

The Twins sent Duran home early Tuesday to prevent him from spreading his illness to his teammates, but he'll likely be back in the bullpen within a few days. In the meantime, Minnesota could turn to Louis Varland or Griffin Jax for any save chances that may arise.

Estevez (3-2) earned a win against Pittsburgh on Tuesday. He allowed a hit in a scoreless inning and did not record a strikeout.

Estevez worked around a one-out double by Ke'Bryan Hayes to keep the score 3-3 before the Royals walked it off in the bottom of the ninth inning. It was Estevez's first win since May 25, and he has thrown two shutout frames since allowing a run against Seattle on July 3. He dropped his ERA to 2.67 with a 32:14 K:BB across 39 frames.

Sandlin (elbow) was placed on the 15-day injured list with right elbow inflammation Tuesday, Keegan Matheson of MLB.com reports.

Sandlin returned to action June 20 after missing two months with a right lat strain, posting a 2.16 ERA and 1.08 WHIP with six strikeouts over 8.1 innings in nine appearances out of the bullpen. He will now likely be sidelined for another prolonged period of time as he deals with a second injury to his throwing arm, the elbow in this instance. Justin Bruihl was called up from Triple-A Buffalo to replace Sandlin on the major-league roster.

The Blue Jays recalled Bruihl from Triple-A Buffalo on Tuesday, Keegan Matheson of MLB.com reports.

Bruihl was optioned to Triple-A on Friday, but with Nick Sandlin (elbow) moving to the IL, the Jays will bring the former back into their big-league bullpen. Bruihl has given up one run in 3.1 innings over his four MLB outings this season and is likely ticketed for a middle-relief role while with Toronto.