Benitez is expected to move to Inter once he settles his severance pay with Liverpool in the coming days.
An Inter source told Gazzetta dello Sport: "It's clear that we are not behind this.
"It's an internal matter for Liverpool. But it is a fact. We have no hurry [to find a replacement]. We haven't gone looking for anyone and we don't intend to fuel disputes to free Coaches who are actually contracted.
"If Benitez, once out of contract, were to show interest in Inter's bench, then he would enter among the candidates, knowing that he wouldn't be the only one."