However, he was due to resume training with the Red Devils on Monday and is in line to figure in the first leg of the semi-final in midweek.
"Carlos will be back in training on Monday and he'll be involved on Wednesday," United boss Sir Alex Ferguson told MUTV.
Tevez has been instrumental in United's wins over QPR and Blackburn Rovers in the previous two rounds and is expected to start at Pride Park.
Ferguson will largely select from the same squad which overcame Southampton 3-0 in the third round of the FA Cup on Sunday.
He added: "It'll be virtually the same squad [that travelled to Southampton]. I might leave out one or two, but it'll be more or less the same group of players."