Khosrowshahi said on stage at the Code Conference that Uber's relationship with Waymo was "getting better" since Uber in February agreed to pay Waymo $245 million in shares to settle a legal dispute over trade secrets.
"We're having discussions with Waymo. If something happens, great. If not, we can live with that, too," Khosrowshahi said.
Waymo is an "incredible technology provider" and having it on Uber's network would be a good thing, he added.
Waymo declined to comment.
In a lawsuit filed last year, Waymo said that one of its former engineers who became chief of Uber's self-driving car project took with him thousands of confidential documents. The lawsuit cost Uber both time and money in its self-driving car development.
Waymo plans to roll out an app-based service this year offering rides to passengers in a fully self-driving Waymo car with no driver. It also has a partnership with Lyft Inc, a rival of Uber.
Uber plans to restart its own self-driving car operation in the coming months, Khosrowshahi said. The company shut down testing in Arizona this month after a fatal crash involving one of its vehicles.