Steelers looking to keep Harrison
"It's been a very open process, and it's going about the way you would expect," Parise said. "So I think everything is moving along."
Harrison was arguably the league's biggest bargain in 2008 with an annual salary of $1.2 million. He registered 101 tackles, 16 sacks, seven forced fumbles and was named the NFL's defensive player of the year.
Harrison's memorable 100-yard interception return also helped lead Pittsburgh to its sixth Super Bowl title with a 27-23 victory over the Arizona Cardinals.
James Harrison returns an INT 100 yards for the longest touchdown in Super Bowl history.
But it's apparent they are making Harrison, 30, the team's first and biggest priority. Parise said he's confident both sides will reach an agreement this offseason.
"Certainly the Steelers didn't win six Super Bowls by not knowing what they're doing," Parise said. "I'm sure they understand exactly what they have and where they're going with James' situation."
James Walker covers the AFC North for ESPN.com.
MORE NFL HEADLINES
- Texans' Foster medically cleared to return
- Peppers joins Packers on three-year deal
- Edelman agrees to re-sign with Patriots
- Jags WR Blackmon OK after single-car crash
MOST SENT STORIES ON ESPN.COM
- '47 Brand Men's Pittsburgh Steelers White Clean-Up Adjustable Hat