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7/20/2013 8:00 P.M. ET

Berkman swinging, but won't come off DL Monday

ARLINGTON -- Lance Berkman, on the disabled list with a strained left hip, is swinging again, but not at a rate that will get him back in the lineup anytime soon. Berkman is eligible to come off the disabled list on Monday, but that won't happen.

Berkman swung off a tee on Friday and said he felt "all right." The plan now is to increase his work until he feels good enough to get back into the lineup. Berkman said he doesn't see a need to go on a medical rehabilitation assignment once he is at full strength.

"I don't need to do it and I'm not going to do it," Berkman said. "I've been on plenty of rehab assignments and I can't stand them. It's a no-win situation. It won't take more than a game or two to get my timing back. It's not like I've had great timing all year. Maybe it will be right there."

Berkman, because of his service time, has a right to turn down a request to go on a rehab assignment.

"When he gets ready to play and swing the bat and is able to do things, we'll deal with that," Rangers manager Ron Washington said. "Just let him progress and see where it goes."

Possibility of Garza to Rangers diminishing

ARLINGTON -- The Rangers are still having trade discussions with the Cubs about pitcher Matt Garza, but the possibility of a deal has diminished over the weekend.

The biggest obstacle is that the Cubs have some medical concerns about one of the players being offered by the Rangers in return. The questions weren't serious but were considered legitimate. According to Major League sources, the two sides were trying to find alternative ways to make the deal.

The trade could happen, it may not or Garza could be traded to another team. The Cubs were in fourth place in the National League Central going into Saturday, 14 games behind the first-place Cardinals, and they appear to be determined to trade Garza.

Right now Garza is considered the top starting pitcher on the trade market, but the Rangers were among the teams that had a scout watching Jake Peavy pitch for the White Sox against the Braves on Saturday. Peavy, who allowed four runs (two earned) in six innings, made his first start since June 4 after being sidelined for six weeks with a fractured rib.

Unlike Garza, who can be a free agent after this season, Peavy is signed for next year at $14.5 million with a performance-based option of $15 million for 2015.

There is no word on which Rangers players raised concerns with the Cubs. But pitcher Neil Ramirez, whose name has been prominently mentioned in the discussions, has been dealing with some shoulder issues lately. He made his first start in two weeks for Double-A Frisco on Friday night and allowed five runs in 3 1/3 innings.

Feeling better, Grimm ready to pitch out of bullpen

ARLINGTON -- Rangers right-hander Justin Grimm, who left his last outing in Detroit on July 12 with tightness in his right forearm, had a light bullpen session on Friday and said he's ready to pitch again.

"I did some rehab during the All-Star break and it got better every day," Grimm said Saturday. "I had a light bullpen yesterday and everything felt good. I'm ready to rock."

He will do so out of the bullpen as the Rangers' long reliever. Grimm is 7-7 with a 6.27 ERA in 17 starts, including 2-4 with a 9.91 ERA in his last eight starts, so the Rangers are moving him into the bullpen for now. Ross Wolf started against the Orioles on Saturday night and the Rangers have two more rotation moves coming. They are planning to activate Yu Darvish off the disabled list on Monday and Alexi Ogando on Tuesday.

Ogando threw a bullpen session without a problem on Saturday. The Rangers are waiting until they see how he recovers on Sunday before officially designating him as Tuesday's starter. Grimm would be an option if Ogando is not ready.

The Rangers also have two roster moves to make when Darvish and Ogando come off the disabled list. At that point, the Rangers could send Grimm back to Triple-A so he can get regular work as a starter.

Kinsler sets Rangers' hit-by-pitch record

ARLINGTON -- Ian Kinsler set another club record on Friday night when he was hit by a pitch in the ninth inning by Orioles reliever Jim Johnson. It's the 55th time in his career Kinsler has been hit by a pitch, passing Rafael Palmeiro for the most in club history.

Earlier this season, Kinsler set a club record for most stolen bases in a career. Kinsler has 162, one more than Bump Wills. Elvis Andrus is fourth with 142, one behind Toby Harrah with 143.

Kinsler said he expects Andrus to break his stolen-base record within a year or two. Kinsler is likely to hold on to the hit-by-pitch record a little longer. Among active players, Andrus is second with 22, including just one this season.

Craig Gentry has been hit by a pitch 18 times in just 269 career games. Since 1900, only 11 players have appeared in 270 games or fewer and have been hit more than 18 times with a pitch.

Worth noting

• Colby Lewis said he is aiming for 60-65 pitches in his next medical rehabilitation assignment for Double-A Frisco on Monday. He said his arm felt "really good" after a bullpen session on Friday. Next Saturday will mark one year since Lewis underwent surgery to repair a torn flexor tendon.

• Pitcher Luis Parra, who was 3-1 with a 1.16 ERA in five starts at Class A Hickory in June, was named the Rangers' Minor League Player of the Month for June. Hickory infielder Ryan Rua, who hit .298 with 10 home runs and 23 RBIs, was the Player of the Month for June. Ben Rowen was the Reliever of the Month and Double-A outfielder Ryan Strausborger was the Defender of the Month in the long-delayed awards.

• Derek Holland has pitched at least eight innings in four starts this season. He has a 1.36 ERA in those games, but the Rangers have only won two of them.

T.R. Sullivan is a reporter for MLB.com. Read his blog, Postcards from Elysian Fields, and follow him on Twitter @Sullivan_Ranger. This story was not subject to the approval of Major League Baseball or its clubs.