Jugones says Zidane has pressed the pair about bringing Paul Pogba to Madrid.
While Florentino has suggested alternatives, Zidane made it clear they must prioritise signing the Manchester United star.
Zidane is concerned about Juventus now making a play to re-sign the France international.
And he has made it clear to Florentino that they cannot allow Pogba to slip the net this summer.
Last week, Okdiario's chief pundit Eduardo Inda, speaking on El Chiringuito, revealed: "If Pogba does not come, there will be trouble, for Zidane he is the most important player, after (Eden) Hazard, to be signed this season."