"Definitely at some stage I'd love to do a Volvo," Burling told the Herald.
"I haven't really put any thought into what is next to be honest. It's been a massive push to get to this next point and I don't really want to make any decisions while you're still riding the emotions of the last one.
"Obviously the Olympic Games is still a passion as well, there's some amazing yacht racing there and I'm sure a Cup defence will be on the radar at some stage as well."
The toast of the America's Cup world after his nerveless performances in Bermuda, Burling is expected to be central to Team NZ's defence in Auckland in 2021.
With the next edition of the round the world race starting in October this year, Burling could conceivably still link up with a team for the upcoming campaign, but he would need to put in some long weeks at sea to train for the event. There would also be specialised training courses he would need to complete before being allowed to take part.
Having had a demanding schedule over the last four years as his Olympic campaign rolled straight into America's Cup testing , Burling said he is looking forward to switching off an having a break before deciding his next challenge.
"For myself and Blair we haven't really had any time off for about three and a half years. It was a massive push into Rio and then we had about five or six days off after that, on a bit of a roadshow before we got straight on a plane back to another Cup event," said Burling.
"Then you knew there were design deadlines coming up that would very heavily affect the outcome here[in Bermuda], so we were just pretty much straight into trying to help the guys develop the boat."
"It's a pretty exciting future, but we're just looking forward to having a few weeks off and recharging the batteries. Trying to have a bit of fun and enjoying the moment."