I can't think of any phrase where "sperare" means "to expect". Maybe you are thinking about spanish verb "esperar" which means "to hope" as well as "to wait for", "to expect"?
The audio says "spero DI no," with stress on the "di." Is this the normal stress for this sentence?
When I chat with italians I write mi auguro and it's comprehensive for them so what is the more common phrase to tell here??