The U's manager is the favourite with bookmakers to take over at League Two basement side Northampton Town.
The Oxford Mail understands that an approach has been made by the Cobblers to United, but neither club has confirmed this.
Wilder was due to take the weekly press conference ahead of Oxford's home game with Torquay United tomorrow, but instead it was left to assistant Mickey Lewis to speak to the media.
When asked whether Lewis expects Wilder to be on the touchline tomorrow, he said: "As far as I'm led to believe and I hope that's the case."
He added: "There has been speculation about Chris a few times now, because he's a really good manager, so people are always mentioning him when jobs are about.
"He's really professional and has just got on with it, as we all have, and we are preparing for the game as normal.
"Everything is just the same, we are heading down to training shortly and nothing changes at all."