Spanish news outlet Diario Gol say the Portuguese will consider an exit if his position as top dog is threatened.
It’s suggested he’s informed Zinedine Zidane and Florentino Perez that he wants to remain the main man at the Bernabeu.
The Frenchman is expected to cost mega money – but Real now have cash to splash.
The La Liga champions have offloaded Alvaro Morata to Chelsea and James Rodriguez on loan to Bayern Munich.
Club supremo Florentino Perez has been keen to draft in Mbappe following Real’s impressive season last term.
Ronaldo has been a standout performer for Real since signing from Manchester United in 2009.
He’s scored an incredible 285 goals in 265 games for the club.
But he was linked with a move away from the club this summer following accusations by the Spanish authorities that he’s dodged paying tax.
Zinedine Zidane was keen to quash reports that his star man could be packing his bags, though.
Speaking earlier this week, the Frenchman said: “There has been a lot of talk surrounding Cristiano, that he wanted to go.
“I only believe in one thing – whenever I’ve spoken to him, he has been very relaxed.
“He’s on holiday and he will be back with us on the fifth [of August].
“I listen, just like everyone else, but the only thing I’m concerned with is what he wants to do with Real Madrid.
“He’ll be here with us on the fifth and I think he’ll stay for the next two or three years he’s got left with us.”