LVMH chairman Bernard Arnault, who also runs Dior says the company are looking for someone who will make the ''best choices'' for the label to take over from John Galliano.
Dior without John Galliano has been compared to an orchestra without a conductor.
The troubled designer was fired as the label's creative director in March after a video showed him apparently drunk, telling a woman in a cafe he "loved Hitler" and while the company is coping without a successor for now, LVMH chairman Bernard Arnault, who also runs Dior, believes they need to appoint someone new soon.
He said: "I think we have the equivalent of the Vienna Philharmonic. From time to time, the Vienna Philharmonic could play without a conductor because they are so good. But that cannot last forever. We want to [make] the best choice for the house and find the best conductor."
CEO Sidney Toledano revealed the company is looking for a replacement but want to ensure they make the perfect choice although he did praise the label's "technical people" for their hard work.
He said: "A lot of schools produce designers but the technical people - this is what we have to protect. They work very hard here, and they live outside of Paris. They are not living like the designer. They are simple people. Some of them have a difficult life. They have their feet on the ground. They're sustaining the house."