Doesn't the 18" wheel have a thicker tire, so the circumference is the same? Well, similar enough anyway. I'm assuming OP means a full-sized 18" spare, although I guess there are 18" spares that are not full-sized.
I agree that leaving them mismatched in any way is not a good plan, but I would think a full-sized 18" spare would be just fine until you can get your 19" fixed.