According to Christopher Tidy :
[ ... ]
That will probably do well enough.
Hmm ... I've seen transformers with heavy wire (around this size) wound with *square* wire -- to maximize the conductor's cross-sectional area. Otherwise, there are air gaps between wires which are just waste space.
Obviously, this would require even more care in the winding, assuming that you can find the square wire in the first place.
Older transformers that I've disassembled have had a very thin waxed insulating paper between layers of the wire -- to keep the wire from bunching up, and especially to minimize the voltage between closely adjacent wires, which could otherwise be a problem if an upper layer dropped into a much deeper layer.
obviously, if you are going to be using 2.5mm wire, round or square, you won't be developing enough voltage to have to worry about this unless the transformer is a *lot* larger than I have been thinking. :-)
Good Luck, DoN.