Hambledon have been drawn away at Paultons in the first round of the National Village Knockout, sponsored by Persimmon.
Dan Hewitt's Dons will travel to their Southern Electric Premier League division two rivals on Sunday, May 6.
Should Hambledon defeat Paultons they will set up a potential quarter-final clash with old enemies Burridge on Sunday, May 20.
Burridge must first dispose of Sparsholt, though.