"We have not received a call from the Hawks regarding Ryan," Johnson's agent, Tom Laidlaw, said Tuesday.
Johnson became an unrestricted free agent on July 1. The Hawks had exclusive negotiating rights with him before the beginning of the month but have made no contact with his camp.
On Monday general manager Stan Bowman stopped short of declaring his offseason over but strongly hinted that the Hawks were happy with the centers on their roster, including Patrick Sharp.
"Ben Smith has played center in Rockford [AHL]," Bowman said. "We have other guys that have done that role and are going to be able to fill that role so I'm confident going in."
Johnson was brought to the Hawks organization on a tryout mid-year after fully recovering from foot injuries suffered the previous season. He quickly became a fixture on the fourth line, winning 63.1 percent of his faceoffs. He played in 34 regular season games and six playoff contests, combining for one goal and six assists.
Jesse Rogers covers the Blackhawks for ESPNChicago.com and ESPN 1000.