According to the local newspaper Straits Times, the Red Bull driver is scheduled to test the street circuit at the wheel of a Porsche 911 GT3, even though he will have to conform to normal speed limits.
"We didn't have enough time to get the clearance for a high-speed run," Jyn Wee, Red Bull's brand manager in Singapore, was quoted as saying.
Webber publicly supports the concept of night races for formula one, with Singapore slated to become the first grand prix run under floodlights early next year.
"I have done a night race before and I like it a lot," Webber, 30, said. "I am sure the fans would love it and I think it is a unique idea, so why not?"