Dugarry believes, however, that both players wouldn't be tempted even if Zinedine Zidane is now back as Real coach.
He told RMC: "That Zizou and Real Madrid want to recruit Mbappé and Neymar, nothing's illogical to all this, it's part of the business of football, it does not shock me.
"Afterwards, I do not believe for a second that Mbappé and even Neymar want to leave, unless they go AWOL, they say: 'I do not train anymore', but I do not believe it."
Real president Florentino Perez recently said: "Who from Neymar or Kylian Mbappé would I bring in first? Both."