Harrison and former Miami Dolphins linebacker Karlos Dansby each visited Cincinnati last week, and while the Bengals are interested in Dansby, a deal with Harrison seems more attainable and realistic at this time.
The 34-year-old Harrison, who was set to make $6.57 million in 2013, was released by the Steelers last month after refusing to take a pay cut. His agent said his client would be open to a return to the Steelers, but the Pittsburgh Post-Gazette reported that the team is not interested in a reunion.
Harrison was meeting with the Baltimore Ravens on the same day Baltimore reached agreement with linebacker Elvis Dumervil, which ended the team's interest in signing Harrison. Otherwise he has received little interest from teams looking for a linebacker.
Harrison missed the first three games of the 2012 season with a minor knee injury but was one of Pittsburgh's steadiest performers over the second half of the year. He finished with six sacks, tied for the team lead, and a pair of forced fumbles as the Steelers finished No. 1 in total defense for the fourth time since Harrison became a starter.
He has 64 career sacks and was named The Associated Press' Defensive Player of the Year in 2008 after finishing with a career-best 16 sacks.
Information from ESPN NFL Insider Adam Schefter and The Associated Press was used in this report.