Does this French Chore Coat fit me?

I bought this french chore coat off ebay, I think the length is okay but I don’t know if the sleeves are too short or if this is how french chore coats are supposed to fit. Context: I usually have to get my sleeves lengthened for a suit, I am wearing a t-shirt tucked in just below the waist. Looking at some photos online, it seems like this might be too small but wanted to get a second opinion before selling / donating it. Thoughts?