They are among six Hampshire sides forced to play a preliminary round match and, provided their King George V ground is playable, will host Locks Heath on April 14.
Twice Lord's finalists recently, Calmore Sports go to the former IBM Hursley hq to play South Winchester, while Sparsholt host Hambldon, both in the first round.
Preliminary round (April 14)
Bramshaw v Paultons, Hook & Newnham Basics v Locks Heath, Oakley v Cadnam.
Round 1 (April 28)
Bramshaw/Paultons v Overton, Hook & Newnham Basics/Locks Heath v Tichborne Park, Oakley/Cadnam v Sway, Sparsholt v Hambledon, Amport v Ventnor, Liphook & Ripsley v Emsworth, Easton & Martyr Worthy v Sarisbury Athletic, South Winchester v Calmore Sports, Odiham & Greywell v Hursley Park, Parley v Goatacre, Colehill v Catistock, Shrewton v Compton Down.