Ironically, the sides also met in the first round of last year's t20 - Burridge winning by 33 runs on their way to beating Alton in the final to celebrate a league and cup double.
Notable absentees from this summer's competition are the Hampshire Academy.
Draw:
May 19 2024: Portsmouth & Southsea v Hook & Newnham Basics, Fawley v Andover, Langley Manor v Trojans, Fareham & Crofton v Bournemouth, Liphook & Ripsley v Hursley Park, Parley v New Milton, Fair Oak v Havant, Sparsholt v Alton, St Cross Symondians v OT's & Romsey, Gosport Borough v South Wilts.
June 2 2024: Portsmouth v Totton & Eling, Burridge v Sarisbury Athletic, Basingstoke & North Hants or Rowledge v Bashley (Rydal), Paultons v Waterlooville, Sway v Ventnor, Lymington v Calmore Sports.