It'd be a brave man to bet on an Australian win.
Aus are arguably much weaker than they were in the Winter season with the loss of some of their key players and are now in a process of rediscovering who they are as a team.
England however are in top form, settled and comfortable and fresh from a series win of Aus down under in the one day games. If Aus couldn't beat England on their own turf, it's unlikely they will fare too well in English conditions.
http://www.espncricinfo.com/scores/series/10884/eng-in-aus-odi-series-2017-18