The Redskins running back has 377 rushing yards and three touchdowns from the team's first five games of the season.
The Bears head coach told the team's official website: "I really like Alfred Morris. I think he's 'everybody's back' in terms of a guy you're always rooting for as a fan. We're not going to be rooting for him on Sunday obviously, but [he's] a guy who found a way to make it to the National Football League and sets the tone for what it means to be in the league with the way he plays.
"He plays hard, he plays fast, he's a relentless player. From a league standpoint, he's everybody's dream come true in terms of growing up and wanting to play in the league.
"He's not an easy guy to tackle. He's low to the ground, his pads are down, he runs hard and he's got enough speed to generate explosive running skills. We've got our work cut out for us there."
Morris is in his second season in the NFL, having been a sixth-round Draft pick last year.