Benitez stated on Monday that he would speak this week with owner Mike Ashley over the new deal.
"I don't really want to talk about that because I don't think we're going to [lose him]," 29-year-old Ritchie replied when asked about what the club would do without Benitez.
“I'm optimistic that he will stay; I hope he stays, everyone hopes he stays. There is no point talking about ifs and buts, as we don't know yet, let's just wait and see."
Asked whether he had a hunch Benitez would sign a new deal, Ritchie responded: "I think so – hopefully, yeah."