League sources told ESPN NFL Insider Adam Schefter that Dorsey agreed to a two-year, $7 million deal.
Dorsey, the fifth overall pick by the Kansas City Chiefs in 1998, could serve as a replacement for Isaac Sopoaga, who signed with the Philadelphia Eagles. Defensive end Ricky Jean Francois is also drawing interest on the free-agent market.
Considered a disappointment during his tenure with the Chiefs, Dorsey registered 238 tackles and four sacks in 66 games with Kansas City. The 6-foot-1, 297-pounder was limited to four games last season because of a calf injury.
"I really look forward to the opportunity," Dorsey said. "I got the call from my agent and I hopped on a plane first thing."
Animated defensive line coach Jim Tomsula was right there waiting to pick him up, "and he was talking 100 miles per hour."
"He basically told me I'm going to have the opportunity to compete and play," Dorsey said. "That's all I need."
Information from The Associated Press was used in this report.