Cummins, who has a history of injuries, will play out the current five-match ODI series but will miss Australia's three Twenty20 internationals with India next month.
"Pat has played a considerable amount of cricket this year after a long period away from the game due to injury," chief selector Trevor Hohns said in a statement.
"His body has handled the return to international cricket well, but we believe the best plan for him ahead of the Ashes series is to return home to refresh, both mentally and physically, before he prepares for (four-day) Sheffield Shield cricket."
The Ashes Test series against England begins in Brisbane on November 23.
CA said a decision on a replacement for Cummins in Australia's squad for the India T20 matches will be announced shortly.