Will a man get tired of me if we meet too often?

I have a wonderful man who has continued seeing me long-term under a monthly arrangement. Even though he gives me more than enough allowance, he never makes unreasonable demands and always treats me like a gentleman. I feel he's almost too wonderful for me. We’re scheduled to meet next week and the week after, and we’re currently working out the date for the week after next. He suggested three possible dates, the first of which is just three days after our date next week. We usually go on a date once a week, but I really like and respect him both as a man and as a person. After every date, I find myself feeling wistful and thinking, “I want to see him again soon...” I wouldn’t mind going on another date three days after seeing him, but I’m worried that, from his perspective, it might make things feel less fresh or cause him to get tired of me. Maybe the sex would be more exciting if we both held back from seeing each other for a week? I’m having trouble deciding on a date because of these concerns. With a dating club relationship, I feel that even when you’re very close to a man, maintaining an appropriate distance and keeping some private sides of yourselves undisclosed helps prevent things from becoming routine and allows the relationship to continue. I want to become closer to him, but I’m also afraid of getting too involved. I’m feeling very conflicted—what would be the right thing to do? I’m sorry for the rambling post, but I’d really appreciate your advice.