Britney had told the court in June that the arrangement was abusive and humiliating.
She had filed legal documents asking that her father be immediately removed as the overseer of her $US60 million ($A81 million) estate.
Jamie Spears, in a court filing in August, said he was willing to step down from the role.
In a new document on Tuesday, he went a step further and asked the court to end the conservatorship entirely, according to NBC News and CNN.
Britney "is entitled to have this Court now seriously consider whether this conservatorship is no longer required," Jamie Spears said in a new filing cited by the media outlets.
Her circumstances have changed "to such an extent that grounds for establishment of a conservatorship may no longer exist," he added.
Representatives for Jamie Spears did not immediately respond to a request for comment.