Which Models Have Cotton-Lined Sleeves?

I received my first Barbour from Cox the Saddler a few weeks ago and I'm pleased with the fit and look, but to be honest I was a bit disappointed to find that the tartan liner ends at the shoulder. I find the polyester sleeve lining to be slightly uncomfortable when wearing the jacket with any short sleeved shirts. Are there any current models that do have cotton-lined sleeves?