Should Private Healthcare Providers run South London Healthcare NHS Trust?

Private healthcare providers have been asked if they want to run South London Healthcare NHS Trust after being put into administration in July.
Administrator Matthew Kershaw wants to be "aware of potential interest" from both private healthcare trusts and NHS organisations, his office has said.
The administrator has to publish a draft report on the problems faced by the trust and possible solutions by October.
Is this a good option? Or should it still be run by the NHS?