Mick McCarthy and assistant Terry Connor led Ipwich to victory at the Amex in March
Crawley will host Ipswich in the first round of the Capital One Cup.
The tie, drawn this morning, will take place in the week commencing August 11.
The teams have never previously met in league or cup.
Ipswich's last trip to Sussex saw them win 2-0 at the Amex in March.