Reports in the media on Wednesday claimed Spurs had made a £14million offer for the defender, who is also wanted by Liverpool, with striker Roberto Soldado moving to the Spanish club on loan as part of the deal.
But Sky Sports understands that no such offer has been made, and Tottenham are highly unlikely to let Soldado, a £26m signing from Valencia last summer, leave the club on loan.
New manager Mauricio Pochettino, technical director Franco Baldini and chairman Daniel Levy held a meeting on Monday in which a list of transfer targets was agreed and drawn up.
And Moreno, who just missed out on Spain's World Cup squad despite three previous caps, is not on that list.
Sevilla's president Jose Castro revealed on Tuesday that Liverpool were interested in the 21-year-old but they had not yet received a formal offer.
He said: "It's true that there's interest from Liverpool and we're waiting to see if that turns into a reality, which right now it isn't.
"Whoever wants to leave can do so, but we'll be the ones setting the prices."
Meanwhile, Tottenham are also understood to have no interest in England and Southampton forward Adam Lallana, another reported target for Liverpool.