No contract discussions have been launched between Harrison and Ravens general manager Ozzie Newsome at this time and no deal is imminent. However, the interest is is apparently mutual.
"I've talked to Ozzie and we're going to talk again Saturday," Parise told The Baltimore Sun. "Their timeline is a little slower at this point, but Ozzie's going to have to sign at least a couple of linebackers. I know where we stand. He's made it clear that there's interest from the Ravens, and we have an interest. We would like that very much for James to wind up with great organization like the Ravens. So, we'll wait and see where it goes."
Harrison, 34, is a five-time Pro Bowl selection who was cut recently when he wouldn't accept a reduction of his $6.57 million salary, saving $5.105 million against the salary cap.
Harrison was named NFL Defensive Player of the Year five years ago when he recorded 16 sacks.
Parise said he's spoken with six other teams regarding Harrison, who was on the Ravens' roster briefly prior to joining the Steelers when he was released as the team signed tight end Daniel Wilcox.
"We've got a pretty strong core of teams," Parise said. "We're starting to get a better definition of things."