Williams, who made his eagerly-anticipated return for the Kiwis in their opening win over Samoa, was rested for last week's match against France in Avignon, where victory clinched their place in the quarter-finals, and his presence is certain to boost the crowd at Headingley.
This time captain Simon Mannering is rested, along with prop Jared Waerea-Hargreaves, while second rower Frank Pritchard is sidelined through injury.
"Frank has a cork above his knee and a bit of a sore ankle," said coach Stephen Kearney. "There was a short period of time from the plane trip on Monday to Friday's match and I thought it would be best to give him a break."
Outside backs Josh Hoffman, Dean Whare and Manu Vatuvei all return to the side and former Leeds forward Greg Eastwood will be back on familiar territority, but ex-Wigan scrum-half Thomas Leuluai is still troubled by a groin strain.
Leuluai is the only member of Kearney's 24-man squad yet to get a game but the coach says he has yet to settle on his strongest line-up.
"Obviously there are some big players - such as Simon, Jared and Frank - not playing this week but I couldn't say for certain that this is the side that plays next week," Kearney said.
"Right across the whole group, the pressure to perform is there because guys like Jason Nightingale, Kevin Locke and Krisnan Inu are waiting for an opportunity. That pressure is there, even more so, in the forwards. I think that's a real positive for us."
Team: J Hoffman; R Tuivasa-Sheck, D Whare, B Goodwin, N Vatuvei; K Foran (capt), S Johnson; B Matulino, I Luke, J Bromwich, A Glenn, S Bl Williams, E Taylor. Subs: S Moa, S Kasiano, F-P Nu'uausala, G Eastwood.