Pompey have announced pre-season fixtures against the Hawks and Bognor.
And the Blues will also travel to National League South champions Sutton United.
Paul Cook is putting the finishing touches to his summer schedule in the build-up to next term.
A visit to Salisbury (Tuesday, July 19) is already confirmed, while a tour to Ireland is being finalised.
Now Pompey have unveiled a match at the Hawks on Wednesday, July 13 (7pm).
They will also stay local for a trip to the Rocks with a Nyewood Lane clash on Wednesday, July 27 (7.15pm).
In addition, Cook’s side are to visit the Borough Sports Ground to face Sutton on Saturday, July 16 (3pm).