Real have already lost one key player to an Italian heavyweight - Cristiano Ronaldo going to Juventus for £88.8million last month - and don't want to lose another.
Club president Florentino Perez insists that any bidding suitors must meet Modric's astonishing £669million release clause with the European champions.
Real have clarified that this was all above board and they knew about it, but it will certainly do nothing to quell speculation about Modric's future.
However, Corriere dello Sport claims that Suning has offered to sponsor the deal by paying a percentage of Modric's wages which would allow Inter to complete the move without breaking any rules.
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It appears as if everything is doom and gloom at Real Madrid this summer.
"I think the president said it, I don't think there's much more to add", the manager told a news conference, according to FourFourTwo. "We've been able to enjoy watching him play and we will continue to enjoy watching him".
And Lopetegui doesn't expect Modric to leave.
Matteo Kovacic is refusing to return to Real Madrid until his next move is decided, with Manchester United and Chelsea previously linked with the player.
Sportsmail understands a number of top clubs on the continent - including Paris Saint-Germain, Juventus and Real Madrid - are now tracking the Bury born 27-year-old. "That's how I feel but I'm not inside his head".