Nunez said: "It is never going to be satisfactory leaving the best team in the world but playing for Liverpool is a dream come true for any player.
"The deal is almost done. It is only a question of tying up a few details which should be no problem although Real will retain an option to buy me back in the future.
"I've always made a point of following the games in the English league because it is the sort of football that I like to play and now I'm going to be part of it. I hope to adjust to it as quickly as possible.
Even if Owen hadn't signed for Madrid I already had an offer from Liverpool and I knew that the manager was keen to sign me which is something to be proud of.
"Last season I found out how hard it would be to play at Real and I know Liverpool will be the same, but I hope to get some more minutes on the pitch."