The Sunday Express says privately Benitez is convinced that his current squad, boosted by their summer reinforcements, is capable of launching - and sustaining - a realistic challenge.
But the last thing he wants to do is talk publicly on the subject, which would pile even more pressure on his expensively-assembled underachievers to finally deliver.
He said: "Hopefully we can get closer this time.
"Nobody at Valencia ever spoke about it and we won La Liga twice.
"The idea is to do the same here."