Holders Durham host either Kent or Somerset in the semi-finals of the FP Trophy.
Durham sneaked into the last four with a tight one-wicket victory over Nottinghamshire, while Kent's quarter-final with Somerset was postponed until Thursday and switched to Beckenham due to a wet outfield at Canterbury.
In the other semi-final, Yorkshire captain Darren Gough takes his side to Chelmsford to face his former county Essex.
"We are delighted with that draw," Essex all-rounder Ravi Bopara, who scored an unbeaten 201 in the quarter-final win over Leicestershire, told Sky Sports.
"They are a tough team, with a good batting and bowling unit, but for some reason we just fancy them."
The semi-finals will be played on July 4 and 5.