With the soft launch of free agency, tight end Virgil Green is weighing a multiyear offer from the Broncos as suitors line up for his services.

Reached Saturday, Green characterized the negotiations as encouraging, but he’s not ready to accept given the interest. Thirteen teams contacted Green’s agent with “six to eight” remaining as serious suitors. Specifics of the Broncos’ offer are unknown, but comparable tight ends make from $2 million to $3 million per season.

“The Broncos have talked to me. They didn’t tell me what my role would be, but they made it clear how valuable I was to them. I love playing in Denver, and I love the fans. But I can’t make the decision just based on that,” Green said. “I appreciate the offer, but I don’t want to react too quickly until I know how other teams see me.”

Per NFL rules, teams can sign their own free agents, but other teams could talk to them as of Saturday. The Broncos’ initial push has left Green mulling his future with the team. Free agents can’t sign with other clubs until Tuesday.

Broncos general manager John Elway characterized Green as a priority at last month’s NFL combine in light of Julius Thomas’ likely exit in free agency. The Seattle Seahawks are gaining traction as a potential suitor for Thomas.

Green is considered one of the game’s best blocking tight ends, befitting his “Incredible Hulk” nickname. Green caught six passes for 74 yards, scoring his first career touchdown in the season finale against the Oakland Raiders.