Pompey will discover their next opponents in the Papa John's Trophy when the second round draw is held on Friday (November 20) evening.
It will be live from 6.15pm on Talksport 2 ahead of the Championship fixture between Coventry and Birmingham.
The 32 clubs who progressed to the knockout stages will be split into northern and southern sections.
Pompey finished behind West Ham U21s in Southern Group A, so will be away to either Arsenal U21s, Cambridge, Cheltenham, Exeter, Leyton Orient, MK Dons or Oxford.
Second round ties will be played in the week commencing December 7.