Should I add my coworker on Facebook?

So I work as an account rep/customer service for my company. I am 23F. We hired a new financial controller in March, 22M. Ever since he first started I thought he was adorable. I am almost certain he thinks I dislike him because of how much I ignore him (I’m just too shy to talk to him). I say good morning to everyone else except him because I am so nervous, can you imagine how he might feel? I catch him looking at me frequently and he popped up as a suggested friend on my Facebook when we have no mutual friends or anything. Anyway, I feel like he may be shy, but I also feel like maybe he isn’t interested at all. I can’t tell. For me, I can be so confident and talkative with normal people, but if I have a crush on you I give the silent treatment. I always do better over text when it comes to talking to someone I like…should I try to add him on Facebook or is that weird?
Should I add my coworker on Facebook?
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