This will be the fourth League Cup tie between the two sides. Portsmouth won the most recent meeting in Round 1 of the 2002/03 League Cup.
Peterborough have scored four or more goals in each of their last five Round 1 League Cup games.
The away side has been victorious in three of the last four meetings between the two sides.
Pompey have failed to score in their last three League Cup games at this stage.