Trump National in Bedminster has been stripped of next year's US PGA Championship after organisers said using the course would be "detrimental" to their brand.
The PGA of America has voted to move one of golf's four major championships away from the course in New Jersey, less then a week after supporters of the US President staged a riot at the US Capitol.
Jim Richerson, the PGA of America president, did not explicitly reference events in Washington DC in a statement announcing the move.
"We are clearly now in uncharted territory. Sitting presidents have attended US Opens. We have not had a sitting President of the United States at an Open Championship.
"We're all learning as we go through this. But I think it's important for us that we understand where the game is and make sure we keep to that without ignoring all the other factors that go around it."
Slumbers said he believed President Trump had been "good for golf" in terms of the renovation of a number of his courses and that he would accept an invite to play golf with him, as the likes of Tiger Woods and Rory McIlroy have done.
In February last year, Slumbers said infrastructure was "one of the key issues we need to solve at Turnberry", adding: "I am sure it will stage an Open there in the not-too-distant future."