Haynesworth agreed to sign the tender that will pay him $7.25 million in exchange for a deal that that gives him a route to avoid a second franchise tag next year.
He and the Titans were unable to come to terms on a long-term deal by a July 15 league deadline.
Haynesworth did not practice with the Titans when they opened training camp in Nashville Friday afternoon. He will have taken his physical and conditioning tests by the end of the day, however, and should practice tomorrow.
"Albert's excited to be in camp and he's very confident that if he has a good season, he won't be franchised next year," Speck said. "We're very happy to get it done."
Paul Kuharsky covers the NFL for ESPN.com