Double bedding on a Small double bed

I’ll be moving into an apartment with a small double bed.I’ve always had the normal double bed, so all of my beddings and mattress topper are in that size.
I know I may not have issues with duvet and duvet covers, but does anyone know if a normal double fitted sheet would fit a small double bed? It would really suck if I have to buy new sheets and a mattress topper too. Did I mention the mattress topper is memory foam?