Personally, my dogs have never had issues with diet changes - so I think it completely depends on your dog. I mean, theoretically, food is food - so variety and changes should actually be easy -
bc food variety is good for them. Feeding the same thing over and over, forever, can actually cause problems and acquired allergies. So, it's kind of up to you. If it were me, I'd honestly probably just give it a try.
Plus, you're moving to fish and potato - which is about as easy as you can get, in terms of digestion.