Argyle will be represented by ball 10 in the Southern Section, when the Vertu Trophy Round of 32 draw takes place on Thursday, 13 November.
The draw will be broadcast live on Sky Sports News from 2.30pm.
Sky Sports’ Will Perry will host the draw alongside former Ipswich Town captain Luke Chambers, and former Jamaican international Jobi McAnuff.
For the Round of 32 draw, clubs will remain regionalised with each group winner being drawn at home to a second-placed club from a different qualifying group. In order to achieve this, each regional draw has been split into two sections.
Argyle finished second in Southern Group B, meaning the Greens will play away from home to one of the following four teams:
- Stevenage
- Leyton Orient
- Colchester United
- Luton Town
Vertu Trophy Round of 32 ties are to take place in the week commencing December 1.