The People says the Wales international has told Real he wants to sign for them but has yet to demand a transfer.
New Bernabeu coach Ancelotti is planning for next season with Bale in his team and has already allocated him the No.11 shirt.
A senior source at Real said: “Bale is the only high-profile player we are pursuing.
“Ancelotti will play him on the left and Cristiano Ronaldo on the right in a 4-3-3 formation.
“There is no doubt in anyone’s mind that Bale will be a Real player this summer.
“If that means he has to put in a transfer request to force the issue then that is what we expect he will do.”