He also won the best player award (Golden Ball winner) of the competition.
"We will see him when we get back [to Spain] on August 8 and we'll see if he is available on the 15th in our first key match".
But it has been claimed that Modric wants out of the Bernabeu outfit with the terms on offer with Inter dwarfing what he is now paid at Real - AS suggesting he would be paid €3.5m (£3.1m) a year extra.
He looks set to quit Real, who value the 24-year-old at around £60m.
Early rumours of Modric being linked with a transfer away from Real were initially given short shrift but that stance now appears to have softened with Inter continuing to show interest in a player who lit up the World Cup.
"The president [Florentino Perez] was clear and unequivocal", Lopetegui said. I have no doubt whatsoever regarding the fact that Modric will continue to play marvelously with us as he has always done.
"I told him he was a player I'm passionate about, I love him and he knows it".
"I've not seen that he's gone on strike", Lopetegui said.
Real Madrid have identified Luka Modric replacement.What's the rumour?
While reports said the Serie A side had agreed a deal with Bayern Munich's Arturo Vidal, Goal understands the Chilean midfielder is close to joining Real Madrid's La Liga rivals Barcelona.
Modric has two years remaining on the contract extension he signed in October 2016.