Updates: Lincecum, Rodriguez, Andrus, Perez

SEATTLE -- Pitchers Tim Lincecum and Ricardo Rodríguez are both eligible to come off the 60-day disabled list as of Monday.
The Rangers have a more pressing decision on Rodriguez, whose 30-day medical rehabilitation assignment has also expired. Lincecum's 30-day assignment doesn't expire until June 5, so Texas plans to keep him at Triple-A Round Rock for now.
Lincecum has pitched in eight games at Round Rock with a 7.45 ERA and a 2.06 WHP. He has walked seven and struck out 10 in 9 2/3 innings so there is still some question if he is Major League-ready.
"Probably continue the process and continue to pitch," manager Jeff Banister said. "Continue to work on his command. Just based on the reports, it's the consistency of the command and holding his delivery together. His delivery is unique. It has been his delivery for a long time, but every delivery is a challenge."
Lincecum originally went on the disabled list because of a blister on his right middle finger. But that is no longer the issue -- the challenge is getting back to a high level after having not pitched in the big leagues since Aug. 5, 2016.
"I would think that has something to do with it," Banister said.
Rodriguez started the season on the disabled list with right biceps tendinitis and has pitched effectively on his rehab assignment. He has worked a combined 9 2/3 innings for Double-A Frisco and Triple-A Round Rock and allowed one earned run on six hits, a walk and five strikeouts. He pitched in 16 games for the Rangers last year.

"He has thrown the ball very well," Banister said. "The velocity is back, the sharpness of the breaking ball, solid changeup, the things we saw last year have all been pluses."
When a pitcher's 30-day medical rehabilitation assignment expires, he can no longer pitch in the Minors while on the disabled list, though he can stay on the disabled list without pitching. The Rangers can activate Rodriguez and option him to the Minor Leagues, but they will have to make room on the 40-man roster when he comes off the 60-day disabled list. The same will hold true with Lincecum.
Injury updates: Perez, Beltre, Andrus
• Left-hander Martín Pérez, who is on the disabled list with nerve inflammation in his right arm, had a "touch-and-feel" throwing session using a catcher on flat ground Monday. But he is not ready to throw off a mound yet, because his right arm is not ready to use a regular baseball glove. He used a batting glove in yestereday's session.
"I don't want to come too fast," Perez said. "I want to throw my bullpens when I am 100 percent. The pain is gone, it's just building it up and getting more grip strength."
• Third baseman Adrian Beltré, sidelined with a strained left hamstring, did some light jogging on Monday in addition to taking ground balls and batting practice. The Rangers still have no timetable for his return.

• Shortstop Elvis Andrus, on the disabled list with a fractured right elbow, has started hitting off a tee. Andrus is also throwing from 90 feet but not yet ready to air it out.
Rangers beat:
• Joey Gallo was out of the lineup on Monday with left-hander Marco Gonzales on the mound for the Mariners. Banister said it was more of giving Gallo a break from the outfield rather than sitting him against left-handers. The Rangers will see two more left-handers in this series, with James Paxton pitching on Wednesday and Wade LeBlanc going on Thursday.
"He is a big man who plays hard and runs hard," Banister said. "You see him run hard on every ground ball and on the bases. There are still days he needs to work on his craft and a day like this gives him an opportunity to get in the cage and get extra work."
• Triple-A Round Rock outfielder Willie Calhoun was removed by manager Jason Wood after not running out a first-inning grounder on Sunday. The message being enforced in the Rangers' farm system is the importance of running hard on every play.
"I can only speak for our organization and identity," Banister said. "Play hard ... run down the line hard. It's the effort you're giving your teammates. Once the bat leaves your hands, you're working for your teammates. That's the identity you want to have in your organization."
• Strength and condition coach Jose Vazquez celebrated his birthday on Monday.