The players reached agreements with the Cowboys to guarantee the amounts of the tender offers they received should they get injured during voluntary workouts, according to the agents of both players.
Austin and Sensabaugh, who are restricted free agents, have yet to sign their tender offers and are seeking long-term contracts with the Cowboys.
In what's called an offseason workout agreement, Sensabaugh will receive $1.809 million (second-round tender) and Austin $3.168 million (first- and third-round tender) from the Cowboys should they get hurt and be unable to return for the 2010 season.
Sensabaugh arrived for Valley Ranch workouts Monday after missing the first two weeks while he worked out on his own. Kevin Conner, Sensabaugh's agent, said his client would like a long-term deal.
Last season, Sensabaugh finished sixth on the team in tackles with 81, according to the coaches film, and third in pass breakups with 10.
Austin missed nearly two weeks of workouts before showing up late last week. Austin had been working out on his own in California and noted that his weight is down from last year.
A phone call from quarterback Tony Romo also prompted Austin to come back to Valley Ranch. Romo said recently he wasn't concerned about Austin not being at the workouts because he knew his absence was about business, not that he wasn't a hard worker.
Agent David Dunn said he held preliminary talks with the team about a long-term deal for Austin, who reached the Pro Bowl in his first season with a full-time role with the club.
Cowboys owner/general manager Jerry Jones and coach Wade Phillips have said they want Austin with the club long term.
ESPN senior writer John Clayton contributed to this report.