Australia havn’t played a match since 13 March, when a scheduled one-day series against New Zealand was abandoned.
The arrangements raise the prospect of long periods isolated in hotel rooms, and Finch said Cricket Australia wanted to ensure the players' mental wellbeing.
Australia confirm limited-overs tour of England; Glenn Maxwell, Nathan Lyon recalled to squad by Aussies
Australia were originally scheduled to play three one-day and three Twenty20 matches against England in July, but the trip was postponed due to the coronavirus pandemic.
The Daily Telegraph reported that the tour will start with the T20s to be played on 4, 6 and 8 September, followed by the ODIs on 10, 12 and 15 September.
Usman Khawaja, Marcus Stoinis named in Australia's preliminary squad for England's limited-overs tour
Khawaja and Stoinis were included despite losing their national contracts after falling out of favour with selectors over the home summer.
Ricky Ponting joins Australia squad in coaching role ahead of UK tour; set to work alongside head coach Justin Langer
Ex-captain Ricky Ponting will join the Australian cricket team's coaching staff for their tour of England and will work with former teammate Justin Langer.