Midfielder Thimothee picked up a knock at Chelsea on Sunday but coach Chris Hughton stressed that none of the trio were serious injury concerns.
"There is no big injury doubt with either of them," explained Chris at Spurs Lodge after training this afternoon. "In effect, it's little knocks and we felt they would benefit from having the extra day's rest.
"We're certainly not too concerned about injury problems on top of the two or three we already have out."
The other players missing are Sean Davis (knee), Michael Carrick and Mauricio Taricco (both ankle).
Chris added: "Looking at the squad we're taking it's giving Oldham the respect they deserve.
"For us, it's a good opportunity to make progress in the competition but that's not taking anything away from the fact that it will be a difficult game. They are at home in front of a passionate crowd and they will see it as the chance to put one over a Premiership side."
Squad: Robinson, Keller, Pamarot, King, Gardner, Brown, Davies, Redknapp, Bunjevcevic, Mabizela, Mendes, Jackson, Ricketts, Keane, Kanoute, Defoe.
Thimothee Atouba, Erik Edman and Noureddine Naybet sit it out but otherwise it's a full-strength squad travelling to Oldham for tonight's Carling Cup tie.