The pair missed Friday's win over San Marino but boss Roy Hodgson was hoping they would be available for the crucial second game of the current doubleheader.
Hodgson made the decision after the team reported to England's Watford training base on Sunday afternoon. England leaves for Warsaw on Monday morning.
Lampard is recovering from a calf injury, while Bertrand is dealing with an illness. Neither played in England's 5-0 win over San Marino.
The news comes less than 24 hours after it was confirmed Theo Walcott was returning to Arsenal after sustaining a chest injury in a heavy challenge early in the San Marino game.
Hodgson was impressed by the performance of Michael Carrick on Friday and the Manchester United player appears to be a lock to replace Lampard.