The lock damaged his thumb late in the Wallabies' 29-21 victory over Wales at the Principality Stadium last weekend and has been unable to train since.
Coleman, who scored one of four Australia tries in Cardiff, will undergo a fitness test on Thursday to determine whether he will face the Six Nations champions.
Lukhan Tui will also be examined before the encounter with Eddie Jones' men as he recovers from a hamstring injury.
If Coleman and Tui are ruled out, either Matt Philip or the uncapped Blake Enever could come into the side.