She has argued that she is "afraid" of her father.
Jamie Spears has been Britney's conservator since 2008.
She wants the legal guardianship to reflect "her current lifestyle and her stated wishes".
A US court has rejected an attempt by Britney Spears to have her father removed as conservator of her estate.
Jamie Spears has been his daughter's legal conservator for 12 years, due to concerns about her mental health.
Ms Spears' lawyer said the pop star was "afraid" of him, and that she would not perform so long as he remained in the role.
Her father's lawyer argued that he always acted in the best interests of his daughter.
A judge said she would consider future appeals for his dismissal or outright removal.
In the meantime, at the request of Ms Spears, financial company Bessemer Trust has been appointed as a co-conservator.
During a hearing on Tuesday, Ms Spears' lawyer, Samuel Ingham, said she and her father have no "viable working relationship" and have not spoken in a "long while".
But Vivian Thoreen, Jamie Spears' lawyer, argued that the reason they hadn't spoken was because Mr Ingham had advised Ms Spears against it.
Ms Thoreen also defended Mr Spears' record as conservator. When he assumed the role, Ms Spears was fighting tens of millions of dollars in lawsuits. But under his guidance, Ms Thoreen said her business operation was now worth $60m (£45m).
The legal battle is taking place against the backdrop of the "Free Britney" movement - a group of fans who believe Ms Spears is being kept prisoner by her father and others.
What is the conservatorship and why was it set up?
Britney Spears has not controlled her financial affairs or many of her career decisions since 2008 under the court-enacted agreement.
A conservatorship is usually granted for individuals who are unable to make their own decisions, like those with dementia or other mental illnesses.
Essentially, for the last dozen years, her father and attorney have managed her assets and personal life - including being able to restrict her visitors and communicate with doctors about her treatment.
The star began behaving erratically in 2007 after her divorce from Kevin Federline, and she lost custody of their two children , although she has frequent visits.
Her alleged mental breakdowns took place in the public eye. She made headlines for shaving her head and was photographed hitting a paparazzo's car with an umbrella, and went to rehab facilities several times.
She was placed in psychiatric care after refusing to surrender her sons in a stand-off with the police, and the conservatorship was put in place in early 2008.
In the years under the conservatorship, she has released three albums, completed a two-year Las Vegas residency, and served as a judge on The X Factor.
[News taken from BBC]
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