Manager Aaron Boone said Thursday that LeMahieu could begin a rehab assignment as soon as Tuesday, Gary Phillips of the New York Daily News reports.

LeMahieu has been taking at-bats at the team's complex in Florida and appears to be trending toward returning to a competitive setting within the next week. His time in the minor leagues isn't expected to be brief, however, as the Yankees have said that the veteran infielder will require a lengthy buildup period after missing almost the entire Grapefruit League schedule.

Smith (thumb) is out of the lineup for Thursday's game against the Angels.

Thursday will mark the third straight game Smith has missed while he continues to nurse a bruised thumb. Dustin Harris will pick up another start in left field as a result, and the Rangers may consider placing Smith on the IL if he's unable to return to action soon.

Lewis (hamstring) will do some light baserunning Thursday, Aaron Gleeman of The Athletic reports.

While he won't be running full-bore, this appears to be the first time Lewis has run the bases since he suffered a strained left hamstring in mid-March. Lewis has also taken on-field batting practice and gone through defensive drills this week, so he is making clear progress. That said, it's uncertain when he will be ready for a rehab assignment, so a target for his return to the Twins' lineup remains up in the air.

Urshela is out of the lineup for Thursday's game against the White Sox.

Urshela will take a seat for the day game after he started at third base in each of the Athletics' previous three contests. Max Schuemann will fill in at the hot corner for Urshela, who is batting .196 with no home runs or stolen bases across 50 plate appearances on the season.

LeMahieu (calf) is logging at-bats at the Yankees' minor-league complex and will need a buildup of game activity that replicates a full spring training, MLB.com reports.

LeMahieu was injured during his second at-bat during spring training, so it makes sense that the Yankees want him to log what manager Aaron Boone termed "a pretty big buildup." The veteran infielder isn't yet playing in games, and it's not clear when he will be ready to begin a minor-league rehab assignment. LeMahieu could eventually reclaim a starting role at the hot corner for New York, though Oswaldo Cabrera has done a decent job so far this season in his stead, slashing .278/.333/.278 with four RBI and four runs but with no extra-base hits.

Cabrera is not in the Yankees' starting lineup against the Royals on Wednesday.

The switch-hitting Cabrera has gone 4-for-6 with a walk versus southpaws this season, but he has yet to receive a start against a lefty as he is working in a platoon with Oswald Peraza, who is starting Wednesday at the hot corner and batting ninth against Royals left-hander Kris Bubic. Cabrera is slashing .278/.333/.278 with four runs scored and 10 RBI across 39 plate appearances to start the season.

Smith (thumb) remains out of the lineup for Wednesday's game against the Angels.

Smith is dealing with a bruised thumb, and the super-utility player will miss a second straight start. Dustin Harris will start in left field and bat sixth for the Rangers on Wednesday.

The Red Sox recalled Sogard from Triple-A Worcester on Wednesday.

Sogard will likely be in line for a brief stay with the big club, as he was called up from Triple-A to replace Alex Bregman (personal), who was placed on the paternity list Wednesday but could be available as soon as Friday. While he's up with Boston, Sogard will provide the bench with some extra versatility; he's made starts at all four infield spots in addition to right field at Triple-A this season.

The Red Sox placed Bregman (personal) on the paternity list Wednesday.

As a result of the transaction, Bregman will have to miss at least one game and a maximum of three while he welcomes a new addition to his family. The Red Sox recalled Nick Sogard from Triple-A Worcester to provide some extra coverage in the infield while Bregman is away from the team.

Mastrobuoni is out of the lineup for Wednesday's game against the Reds.

Mastrobuoni had cracked the lineup in each of the Mariners' previous four games against right-handed starting pitchers, but he'll head to the bench Wednesday as the Reds send righty Nick Martinez to the hill. With Jorge Polanco limited to designated-hitter duties while he tends to a side injury, the Mariners could mix and match with Mastrobuoni, Ben Williamson (who is starting Wednesday) and Dylan Moore at third base rather than settling on a primary replacement.