Claiborne is being limited in practice due to a sprained MCL in his left knee.
On Friday, Jones told KRLD-FM that "Mo Claiborne's got to get out there. The times he's been out there, it's been impressive. But he certainly can't make the club in the tub, if you will. He's got to get out there. It's time. We got to start having a mentality that we're going to play through things."
When asked to clarify his comments, Jones said Saturday he wasn't angry but speaking in general terms.
Claiborne, however, agreed with Jones that he does need to return
The Cowboys signed Claiborne to a fully guaranteed four-year, $16.26 million contract that included a $10.2 million signing bonus.
"I understand where he's coming from," Claiborne said after Saturday's practice. "Anytime you put that much money in somebody to go out and play, you want them out on the field playing. I understand exactly where he’s coming from."
Claiborne said he hasn't talked to Jones about his comments, but, "I understand. I felt that way myself."
Health has been an issue for Claiborne since he was drafted in the first round. He missed all offseason workouts as he recovered from wrist surgery. Then after being cleared to practice, he suffers a sprained MCL a little more than a week into training camp.
Claiborne said the swelling in his left knee his gone but he needs to take it day-by-day with his health.
"Everything felt good today," he said. "I don’t know what will happen tomorrow. It may swell up tomorrow. Who knows? But when I’m out there I'm going to go out there and go hard."
Claiborne received a handful of snaps in full pads Saturday but won't play against Oakland on Monday night.