Shouldn't be a problem. Just means the tire will be an inch taller. As long as you have plenty of room between tires, you should be fine.
Our first Big Country had 80 series tires (Towmax) that we replaced with Goodyear G614s in an 85 series size and never had any issues.
Also, check the exact tire specifications. For example, our recently replaced LT235/85-16 Sailuns were rated for 3750 lb. at 110 psi and 75 mph. The "regular" trailer service Sailuns (without LT in the size designation) were rated much higher (4400? lb) but at 65 mph.