As Allardyce gets set to oversee his 100th game in charge of the east London club, he revealed that Cole and Downing will not be returning early from hamstring and leg injuries respectively.
"No they won't feature in this game," he told the club's official website. "I would have loved the match to be next week rather than this week as they both would have played.
"They won't be involved on Tuesday because both of them are only due back in training with the other players on Monday and putting them into what will be a hugely competitive game has come too early for them.
"It will be a hugely competitive match because there will be a lot of players out there who will be trying to convince both myself and Malky [Mackay] that they should be playing in the first team on a more regular basis."