Brown provided 17 points (7-17 FG, 2-7 3Pt, 1-2 FT), three rebounds, eight assists and one steal over 37 minutes during Tuesday's 120-117 victory over Cleveland.
Williams (foot) has already been ruled out for Wednesday's game against Milwaukee and will also miss Chicago's back-to-back set Friday versus Atlanta and Saturday versus Memphis, K.C. Johnson of NBC Sports Chicago reports.