The PGA of America confirmed last month that a committee is studying the impact of holding the event around the world, with the earliest possible date in 2020.
It had been thought that Asia would be the most likely venue, but PGA of America president Ted Bishop told Golf Channel's 'Morning Drive' programme on Thursday that he was interested in Portrush.
"Royal Portrush would be a great first international major," he said. "I think given the powerful effect that Irish golfers have on the professional game today, that might be a good place to start."
The R&A denied reports this summer that the Open Championship was set to be held at Portrush in either 2018 or 2019. R&A chief executive Peter Dawson admitted earlier this year that Portrush is "a fantastic golf course," but concerns remain over the infrastructure required to stage a major and Dawson feels the current nine-course Open rota is "about right".
The Northern Irish course has not hosted a major since the 1951 Open, but the Irish Open was a huge success there in 2012.