ESPN.com first reported Bryan's desire to reach a deal with the Cowboys before the deadline for franchise players to sign extensions.
"This is no rumor; it's legit," Bryant said to NFL Network on Friday.
Dallas used the franchise tag on Bryant in March. This season, the franchise tag for wide receivers is worth $12.823 million. Bryant has yet to sign the franchise tag, and Dallas has until July 15 to sign him to a long-term deal.
The Cowboys open the season on Sept. 13 in a Sunday night game against the New York Giants.
Cowboys owner/general manager Jerry Jones has said he is not concerned about Bryant holding out for a new contract, while Cowboys vice president Stephen Jones says the team will make every effort to sign Bryant.
Bryant caught 88 passes for 1,320 yards and a league-leading 16 touchdowns last season, and was named AP first-team All-Pro and to his second Pro Bowl.
The Cowboys finished 12-4 last year, winning the NFC East for the first time since 2009. Dallas beat the Detroit Lions in the NFC wild card round before losing to Green Bay Packers 26-21 in the NFC divisional round.
- Scooby Axson