Both Williams and safety Major Wright (hamstring) will not be available for the Bears' Sunday night matchup with the Giants.
Williams, a former first-round pick, injured his hamstring early in the first half of the Bears' Week 2 victory in Dallas, which forced the Bears to turn to the tackle combination of Frank Omiyale (LT) and Kevin Shaffer (RT) for the remainder of the Cowboys game. That duo started the following week against Green Bay, with rookie J'Marcus Webb also playing a few series in place of Shaffer on the right side.
Bears coach Lovie Smith called Williams' hamstring injury "significant" the day after it occurred.
Williams was held out of practice Wednesday and Thursday.
Jeff Dickerson covers the Chicago Bears for ESPNChicago.com. Information from the Associated Press was used in this report.