Royal Troon has no plans to change its membership structure and follow the lead of the Royal and Ancient Golf Club of St Andrews.
On Wednesday the R&A announced it will urge its members to vote in September on allowing women members for the first time in its 260-year history.
R&A chief executive Peter Dawson insisted the move was not intended to place pressure on male-only clubs on the Open rota: Royal Troon, Muirfield or Royal St George's.
"We have no plans to change our membership structure at this time," said Royal Troon secretary David Brown.
"We are a single-gender club but in my view we feel it's unfair to be compared to some other clubs.
"The Ladies Golf Club, Troon, was founded in 1882. They have 370 playing members. They pay us rent to play on our course and use all our facilities but they are an autonomous club."
Troon will host the Open in 2016 while Royal St George's and Muirfield are unlikely to feature until 2021 at the earliest.
"We are well down the road in preparation for 2016 and have successfully completed major changes to the course," Brown added.
"The feedback from the R&A has been very positive, especially on changes to the ninth and 15th. We would be very disappointed if the R&A made a decision not to come back after 2016."
Muirfield, which is owned and run by The Honourable Company of Edinburgh Golfers, said in a statement on Wednesday: "A working group has been empowered to consult with the membership and to make recommendations to the board about our future.
"As a club, we comply fully with the requirements of the Equality Act 2010 and there are no current plans to change the membership criteria, but these will be reviewed.
"HCEG confirms that we are already well into the process of preparing to consult with our members to gauge the best way forward. Most importantly, we intend to take the time to ensure that the plans we adopt will stand us in good stead, not only for the immediate future but for the next 270 years of our great club."
Royal St George's was not immediately available for comment when contacted by the Press Association.