Need advice to plan ahead

What do I make of this? There is this man in my gym who secretly looks at me daily while working out; he also tries to use a machine near me. Although he knows quite a few people but he doesn’t speak to anyone or even look at anyone. I spoke to him about his workout about 3 days ago he was very sweet and interested. Post that we have merely greeted each other but not exchanged another word.he continues to slyly look in my direction! What do I make of this behaviour? Does he like me?