Jones said that Romo is a "great quarterback" and that the Cowboys are looking to "reward" him with a contract he deserves.
"We have a great quarterback and he deserves to be paid," Jones told Dallas radio station The Fan.
"We want to reward him. He's in the last year of a contract, and our goal is to not let the quarterback run out of contract.
"I think on this particular situation with Tony is, we think we have a great quarterback and we want him to be our quarterback here for the next four to five years."
Romo threw 4,903 yards for 28 touchdowns in the 2012 season.