Gillespie assistant coach for Australia A
Gillespie, who captured 259 Test wickets for Australia in a 10-year career, will support head coach Troy Cooley on the month-long tour, which includes one-day and four-day matches.
Gillespie, 36, joins former Test players Justin Langer, Darren Lehmann and Craig McDermott in national and state level coaching roles.
"CA feels this A tour presents a good opportunity to further enhance Jason`s elite coaching experience," CA general manager Michael Brown said.
"Jason has recently coached in Zimbabwe and understands the conditions we`ll face there. Many of the young up-and-coming players he`ll be working with followed his successful international career as schoolboys.