In addition, the team has received permission to speak to Seahawks offensive coordinator Darrell Bevell, sources confirmed to ESPN. Seattle beat the Redskins in a wild-card game Sunday, 24-14.
Dennison, who has made the Texans' running game a power, was a finalist for the Broncos job that went to John Fox two offseasons ago.
The Bears, who spoke with eight candidates last week, are looking for an offensive-minded coach and told candidates they plan to bring two to Halas Hall this week for second interviews. But before those second interviews take place, Dennison will get his first.
The Bears also met Sunday in Denver with Broncos offensive coordinator Mike McCoy and will interview Montreal Alouettes coach Marc Trestman on Monday, sources have told ESPN.
Under NFL rules, assistants on teams that win first-round playoff games are eligible to interview after the following Thursday for head coaching jobs.
Information from ESPN Senior NFL Writer John Clayton and ESPNChicago.com's Michael C. Wright was used in this report.