Darbon, who is overseeing his first open championship, said that there were 1.2 meters of applications for tickets for this week’s championship and R&A “is eager to serve the demand where we can”.
“But it’s not just about growing up,” he said. “It’s about being better. So it is not just about the amount of people.”
Darbon admitted that the UK government has also talked about Turnberry with R&A which is hosting the open.
He told BBC Sport, “We have a dialogue with the UK government, which we look at the scale of the incident.”
“We create heavy economic impacts in areas in which we staging the championship and this week we will produce more than £ 210m.
“I think, as he has recently clarified, while we have discussed Turnberry with him, they have clarified the options of resting with R&A.”
When the government suggested whether it has been suggested that it would be a good idea to take the championship back to Turnberry, Darbon replied: “As I say, we have an ongoing dialogue with him and they know that the options around the venue are at our wim.”
Darbon was also asked whether Trump’s ownership is an issue.
“This is somewhat fictional question,” he said.
“It is difficult for us to go back until we face logistic challenges. I met Turnberry with some leadership of Eric Trump and Trump Golf Organization a few months ago.
“We had a really good discussion. I think they clearly understand where we are coming from. We have talked through some challenges that we have, so we have a good dialogue with them.”
Darbon said in April that he would “love” to return the tournament in Turnberry.
It appeared on obstacles with its predecessor Martin Slambers, who strongly suggested that this course would not be restored for open Rota, while the Trump was associated with the site, expressing concern that the focus would away from the course.
He said, “We will not come back until we are convinced that the championships will focus on the players and the course, and we don’t believe that it is worth receiving in the current circumstances,” he said.
This was a stance that he recently repeated as November, after Trump’s second election victory, referred to the risk of “media noise” separating from golf.