Cosplay Questions

[statz]

I'm putting together a Shunsui outfit for an upcoming anime convention, and it is all fitting together well. But the one thing I'm missing, and since I'm running out of time and willing to turn to finding one online, what is the thing he wears over his Captain's Haori called? I want to say an overcoat, but I know thats not right >.< Any hints?

If this is in the wrong place, could the mods please move it?