The 6-3, 252-pound Harris has some appeal because he can play all three linebacker positions.
He was drafted by Chicago in the third round in 1995 and was a starter the last three seasons.
If he winds up joining the Dolphins, Harris conceivably could compete for the starting strongside linebacker position.
Rookie Morlon Greenwood was slated to start at that spot, but he has been sidelined by a foot injury. That has left special teams standout Twan Russell and veteran Scott Galyon competing for the job.
At the very least, Harris would provide depth at the linebacker spot, something the Dolphins are lacking.