The two defenders were forced to limp off with fitness problems in the clash with Genoa on Saturday.
Burdisso has torn a tendon in his upper right leg and has also suffered a knee injury, and will be out of action for two months.
Materazzi has suffered a left thigh strain and will be out of action for three weeks.
Walters Samuel and Cristian Chivu are also in doubt for the clash with Manchester United on Wednesday.
