The Lilywhites were due to meet Barrow at Springfields on Wednesday afternoon but the game has been cancelled and North End handed a bye into the last four of the competition.
PNE boss Alex Neil had intended fielding a strong team, using players from the first-team squad who had not been starting in the Championship of late.
In the last round against Chorley, Josh Ginnelly scored a hat-trick and Josh Harrop netted in a 4-1 win.
Among those to feature at Chorley were Paul Huntington, Andre Green, Jordan Storey, Andrew Hughes and Adam O'Reilly.