Asked what Konerko has meant to the organization, especially since his playing days in a White Sox uniform could be coming to an end, Williams wouldn't go there.
"It's not time to talk about that right now," Williams said. "We're trying to just win ballgames."
There are a number of possibilities for Konerko moving forward. He could still re-sign with the White Sox after this season, although that is not expected. The 37-year-old veteran could also sign with another team this offseason, or he could elect to call it an accomplished career with well over 400 home runs and a World Series title.
And there is also the chance that Konerko could waive his no-trade clause and elect to be traded to a contender if the White Sox want to start a rebuilding process.
Williams just ended a 12-year run as general manager when he took his executive VP post this winter. Of those 12 teams Williams put together as GM, Konerko was the only player to be on all of them.
Their bond is obviously tight and Williams' respect for Konerko runs deep, but he will wait before talking about it.
"If Paul starts talking about that, whenever that is, whether it's this year, next year, the year after, whenever that is, if he starts talking about that, that will be our cue to begin speaking about that as well, but we're not there," Williams said.