Wexford native Kennedy, who also works as a full-time Garda based in Wicklow, suffered his first defeat to Olympian Devin Vargas 13 months ago.
The 36-year-old suffered a back injury in the buildup to the fight and he'll be looking to get back to winning ways and boost his impressive record of 13-1-1.
The bout will take place on the undercard of the light-heavyweight clash between Joshua Buatsi and Marko Calic, it will also be broadcast live on Sky Sports.
. @boxingbuatsi returns, @chantellecam gets her World title shot, @AlenBabic11 v animal Kennedy, @AqibFiazBoxing v Kane Baker rescheduled, Udolfia v @PesterSuperstar - @johnhedges_ debut and more - Sunday October 4 🎯 @SkySportsBoxing @DAZN_USA 🇬🇧 pic.twitter.com/zlbDFidK2o
— Eddie Hearn (@EddieHearn) September 15, 2020
Babic, 29, is regarded as one of the most exciting up-and-coming heavyweights after four knockouts to date in his professional career.
Last time out, Babic made light work of Shawndell Winters in two rounds during Matchroom Boxing's Fight Camp.
A win over the Croatian, who fights under Eddie Hearn's Matchroom Boxing promotion, would help Kennedy to secure more high-profile fights.