Both have been training but Les admits there is only a 'slim chance' of him playing while assistant boss John Gorman indicated that Anthony's knee problem wasn't quite ready.
John also reported a few 'knocks and bruises' from Wednesday's clash against Newcastle United but expected those players to be okay.
Les revealed: "I think there is a chance for Saturday, but it's a slim chance. I think we're more looking at trying to get it ready for the week.
"It's a frustrating thing like a said. I'm able to run, but I'm not looking over my shoulder too much. I do feel physically fit, but your head and your neck are parts of the body you don't take chances with."
Steffen Freund, Christian Ziege, Stephen Carr (all knee), Stephen Clemence (groin), Goran Bunjevcevic (thigh), Chris Armstrong (hernia) and Gary Doherty (broken leg) all remain out while Kasey Keller is on CONCACAF Gold Cup duty with USA. He returns on Monday.
Warren Barton is set to make his debut for Derby after moving from Newcastle for a nominal fee.
Luciano Zavango is available again after missing the game at Charlton through suspension.
Les Ferdinand and Anthony Gardner are rated very doubtful for the trip to Pride Park.