What can you do when the man you love is not ready for a relationship (but spends all his spare time with you)?

I met this fantastic guy a few months ago and we get along very well, on all levels. He doesn’t believe in romantic love anymore. He’s been hurt in the past and says he can’t commit to someone anymore. He really likes me and enjoy my company, and not just for sex. He calls me when is happy or worried. He texts me almost everyday. He kisses me in public and introduced me to his family… BUT… He’s afraid to hurt me for is not sure he could be exclusive. Besides, he thinks I want a stable relationship and he can’t provide me with the real deal.

I feel I should protect myself and move on, but I don’t want to lose him. I wonder if he could change his mind eventually and fully embark in a journey with me.

Should I stay but give him a lot of time and space, while working on my own happiness, or should I go now but lose my best friend (and best lover ever)?