Do I give him my number?

So, there’s this guy at my job who I think is really cute. We work in two different departments so it’s kind of hard to have fuller conversations when we’re just passing by each other, but when we are able to chat, it goes well! However, it is kind of hard to tell if he’s interested since we don’t always have full on conversations. He will smile and wave at me, I’ve also caught him staring at me quite a few times when he thought I wasn’t looking. The problem I’m dealing with is that I will be leaving my job for a new one pretty soon. I thought about giving him my number and telling him to text me if he wants to because I really do want to get to know him better outside of work and be able to sit down and have fuller conversations with him. My hesitation comes in just because I don’t 100% know if he’s interested in me like that. Do I take a chance and just give him my number and see how it goes? I’ve never done anything like this before so I’m kind of anxious and overthinking this one 😅😅 I’m a pretty shy girl and this would be new for me. What would you do if you were me?