Gregg reportedly will earn twice as much with the Chiefs than he would have with the Ravens, who were offering him $1.5 million. The Ravens officially released Gregg on Thursday, creating $3.5 million in salary-cap room.
Playing in Kansas City was a factor for Gregg, whose family lives in Oklahoma. Gregg's departure means Terrence Cody becomes the Ravens' starting nose tackle.
Attempts to reach Gregg were unsuccessful.
Gregg, 34, had been the Ravens' starting nose tackle for eight seasons. He had been one of the most productive interior linemen in the NFL, recording over 100 tackles in four seasons (2003, 2005, 2006 and 2007).
Microfracture knee surgery sidelined him for the entire 2008 season. Gregg's tackles totals dropped to 64 in 2009 and 39 in 2010 (which was a career-low for him as a starter).
"We want Kelly here," linebacker Jarret Johnson said. "It's not the same locker room without Kelly. Sorry to lose him but glad to see him land in a good spot with a good contract."
Johnson said Gregg "kind of expected" to sign elsewhere after he was released by the Ravens.
"But I know he wanted to be here," Johnson said. "It's a tough situation."
A few days after sounding off on critics, quarterback Joe Flacco was just as vocal with his teammates Saturday.
Flacco came right back at Ray Lewis after the inside linebacker playfully argued that a running back had been tapped down behind the line of scrimmage. "You didn't even make that tackle," Flacco yelled back a couple of times.
"Joe and Ray, maybe they'll be the spokesmen for the smack talk during practice," Harbaugh said.
No pain, all gain
The Ravens had their first full-contact practice of training camp, and no one sustained a major injury during the grueling three-hour workout.
"I think our guys have a real good foundation, conditioning-wise," Harbaugh said. "They're strong. They're flexible and they're in good shape. Transferring that to football shape is going to take a few days. But this is a big step in that direction.
"I'm proud of what they did in the offseason in terms of how they handled themselves. What they said and the kind of lives they led while they were away from football says a lot about them and who they are."
Harbaugh has given his players off Sunday because he hopes the rules will allow restricted and exclusive-rights free agents to practice Monday. The Ravens have scheduled another full-contact practice Monday.