McCoy and Price began work for their first season Friday, when the Bucs began a three-day minicamp for rookies.
In addition to getting out on the field for the first time in Tampa Bay gear, a highlight of the day for McCoy was meeting Hall of Famer Lee Roy Selmon, who also played at Oklahoma and is the only Buccaneer elected to the Pro Football Hall of Fame.
"I've met everybody I wanted to meet," McCoy said after an afternoon workout. "I met John Randle at the draft. Warren Sapp. I already knew Tommie Harris, and I wanted to meet Lee Roy Selmon. It was a great experience.
"He told me to keep doing what I'm doing."
McCoy is the first defensive tackle the Bucs have selected in the first round since McFarland in 1999. He's the highest drafted interior lineman the team has taken since Sapp was the 12th overall pick 15 years ago.
The expectations that come with being picked third don't faze the 22-year-old.
"I can deal with it. It's nothing new to me," McCoy said, adding that playing in a similar defensive system should help his transition to the NFL.
"I've come in here to help this team. I didn't come in to be on the sideline and just be another rookie who got paid a lot of money. I want to be a great football player."
Sapp likes those chances, as long as McCoy understands that Price, who began learning the nose tackle position on Friday, can help him accomplish that goal.
"The biggest thing he's going to have to do is lean on Price. And, Price is going to have to help him because both of them together are better than me. Not one on one, not one individual standing by himself," Sapp said.
"But them together, they can eclipse anything that I've done. But it's going to take both of them."