Berkman and Rangers general manager Jon Daniels were set to meet Friday to discuss his progress and his role with the team going forward.
Berkman had Thursday off after playing in two rehab games for Double-A Frisco. In all, Berkman, who has been dealing with knee and hip issues, played in four rehab games and was 4-for-11 with a home run.
He ran well, Daniels said Friday. That has been a concern of Berkman's as he has tried to work his way back since going on the 15-day disabled list July 7 with left hip inflammation.
Berkman has played at a high enough level during his rehab assignment that he could help out the Rangers in the final seven weeks of the season, Daniels said.
"The question becomes what role," Daniels said. "Will his legs allow him to play every day at a high level? Is it a different role? How does he feel about that? Those are the things we're working through."
The Rangers could delay the decision until Sept. 1, so they don't have to make any changes to the current roster. Utility man Adam Rosales, who was claimed for a second time in two weeks Monday, is needed more this time after Leury Garcia, the Rangers' utility infielder option in the minor leagues, was traded to the Chicago White Sox in the Alex Rios deal.
"It's something we've talked about," Daniels said of delaying the decision on Berkman until Sept. 1. "But we're not ready to announce anything definite at this point."
Berkman, who has a $11 million contract for this season, has continued to say his biggest concern has been being able to play at a competitive level. This is a player who has 366 career home runs and six seasons with at least 100 RBIs.
"It's about competing at the highest level," Berkman said. "If I can't do that, I don't think I'll be the piece the team needs moving forward."
Berkman said Friday he is open to playing more games on a rehab assignment. But it also sounds as though he feels like four games were enough.
"Had they needed me in the lineup today, I probably could have gone out there," Berkman said.
Replay reaction: The Rangers had a positive reaction to the new proposal for instant replay for the 2014 season, which will include three video challenges for managers.
A 75 percent vote by the owners is needed for approval of the new system and the players' association and umpires have to agree to any changes to the current system.
"All they're trying to do is help the game be played right," manager Ron Washington said. "I just hope I don't waste [the challenges]."
If the changes are approved, Washington said he will have to make sure his first- and third-base coaches are on top of plays in front of them.
"I'm going to go on their reaction," Washington said. "There are going to be some things I can see to let me know if I should go out there."
Daniels also said that he hasn't completely studied the changes, but overall it's a positive.
"Big picture, it's a big step forward for the industry," Daniels said. "Bottom line is just trying to get the calls right."
Feliz improving: Neftali Feliz made it through a bullpen session in good shape Thursday and the plan is for the right-hander to pitch in a game again soon, Daniels said.
Feliz is day-to-day with right triceps inflammation. He last pitched two-thirds of an inning for Triple-A Round Rock on Aug. 8.
Blackley pitches for Round Rock: Left-hander Travis Blackley made his first appearance for the Rangers' organization on Thursday and pitched three shutout innings for Triple-A Round Rock.
Blackley threw 40 pitches and allowed one hit. He could be an option to take the mound for the Rangers on Monday or Tuesday if Alexi Ogando can't make his next start.