NEW YORK -- The Rangers' attempt at getting a fully healthy rotation continues to be an elusive proposition.
Left-hander Martin Perez suffered a broken tip of his right thumb on a hotel door on Thursday night and may miss his next start. The Rangers aren't ready to put Perez on the disabled list because it is his non-throwing hand.
Perez goes down right at the time they are hoping to get Cole Hamels back in the rotation. Hamels threw a bullpen session on Friday, and if all goes well, he could start on Monday against the Indians. He hasn't pitched for the Rangers since April 26 due to a strained right oblique muscle.
"All indications are that if all goes well, he'll have that first game in Cleveland," Rangers manager Jeff Banister said.
The Rangers were considering the possibility of activating Andrew Cashner off the disabled list on Sunday to pitch against the Yankees, but that has been put on hold. Cashner hasn't pitched since June 14 due to a strained left oblique muscle. The injury is not considered as serious as Hamels', but Cashner still needs more time.
Cashner has been throwing on flat ground but has not yet thrown off the mound in the bullpen.
"I'm not ready," Cashner said. "The biggest thing is throwing a bullpen. It's not serious at all, but you've got to listen to your body. It's still in there, but today has been the best day."
The Rangers have Austin Bibens-Dirkx and Nick Martinez pitching the final two games of the series against the Yankees. If Hamels goes on Monday as expected, the Rangers will follow with Tyson Ross on Tuesday.
Perez's turn would fall on Wednesday, but the Rangers may prepare Cashner for that start.
Barnette throws off mound
Right-hander Tony Barnette, who is on the disabled list with a sprained ring finger on his right hand, is back to throwing off a mound and could be close to going on a rehab assignment in the Minor Leagues.
Barnette was placed on the disabled list retroactive to June 15 because of the finger, but he also had a 7.23 ERA. The Rangers were hoping the down time would be used to work out some mechanical issues.

"It has given me the chance to slow things down and get to the root of the issue," Barnette said. "I'm not a big guy and I was trying to do too much, trying to overthrow. It's a problem with a lot of players trying to make too much of what they've got."
Rangers beat
• Elvis Andrus had two steals on Thursday, giving him 17 for the season. He had 24 last year while dealing with a sports hernia for much of the season.
• Perez induced the Blue Jays to ground into two double plays on Thursday. He has 15 for the season, tied for the Major League lead.
• Reliever Jeremy Jeffress, on the disabled list with back spasms, did not make the trip to New York.