Madrid sources say Lopetegui will be sacked by president Florentino Perez the next game Real lose.
And the man he and his directors want to replace the Basque is Mourinho - who is also receptive to the idea.
Okdiario's chief pundit Eduardo Inda, speaking on El Chiringuito de Jugones, revealed: "His intention, today, is that Xabi Alonso is his second.
"It's Mou's idea in his head."
Xabi is currently back with Real, coaching inside the academy.
Meanwhile, Mourinho stated just yesterday that he was fully committed to United and his contract.