He is eligible to return to the active roster on Nov. 17.
A seventh-year pro, Metcalf has appeared in all six games this season. He started five games at left guard last year, but struggled and was benched after playing with a broken hand.
"It's something that happens," coach Lovie Smith said. "He's not the first guy in the league to get suspended for this reason, and that's about as much time as we can spend on it. The league says he's suspended four games. That's what we'll go with. ... When you make a mistake like that, there are consequences that go with it."
Will Metcalf still be a Bear when the suspension ends?
"We see it that way," Smith said. "I don't see why he wouldn't be. It's a four-game suspension, and that's how we're looking at it. Hopefully, we can get it back."
Metcalf's agent Jeffrey Nalley did not immediately return a call seeking comment.