Slowik and Shanahan worked together at the University of Florida from 1980-82. Slowik was a candidate for Denver's defensive coordinator job before Ray Rhodes got the position in 2003. Slowik was interviewed this week after Denver talked to Cleveland secondary coach Chuck Pagano.
Reached at his home in Green Bay, Wis., Slowik told the Rocky Mountain News that he had spoken with Shanahan and "I will probably be out there in a few days to talk again."
The Broncos have not made a formal announcement regarding Slowik's hiring.
Slowik, 50, also has been the defensive coordinator with the Chicago Bears (1993-98) and Cleveland Browns (1999).
Running backs coach Johnny Roland has agreed to join the New Orleans Saints in the same position, the Milwaukee Journal Sentinel reported. The vacancy was created when coach Jim Haslett fired Dave Atkins shortly after the season.
Roland,61, spent one season in Green Bay, but reportedly was unhappy under Coach Mike Sherman.
"He hated working for Sherman," an NFL source told the Journal Sentinel. "He thought it was meeting to meet to figure out when the next meeting was. He's out of there. He obviously got permission to talk to New Orleans, and once he did it was a done deal."
However, another NFL source said the Packers had reservations about Roland's work ethic. Roland probably had more than one year remaining on his contract, so it was probably an easy decision for Sherman to release Roland and allow the Saints.