Holders Eaton Socon are 90 minutes away from another Hunts Intermediate Cup triumph.
Eynesbury manager Mark Ducket has paid tribute to departed defender Steve Gentle.
St Ives Town continued their Southern League Premier Division resurgence with a fine away success.
Assistant manager Jack Cassidy is to stand down from the St Ives Town role this weekend.
Eynesbury were involved in a goalless draw for the first time in more than a year last Saturday.
The last time St Ives Town faced AFC Rushden & Diamonds, it was the biggest occasion in their history.
St Neots Town launched a terrific second-half turnaround to claim a Football League scalp on Tuesday night.