How big is too big for a pocket-watch?

Follow up to my previous thread about my smart-pocket watch project; the display/board I’m using has an annoying rim around it that I was planning on covering with the silver of the top of the case/the lid rim. All told it’s about 55mm round, but I’ll have to add a couple of mm to the diameter for the silver itself and space etc

Is 57-60mm wide pocket watch too big?