Mr Dunne said it had taken 19 days to secure the signatures he needed to take to the Electoral Commission.
The commission cancelled the registration of United Future on May 31 after it notified the commission it did not have at least 500 current financial members eligible to enrol as voters.
On June 11, United Future submitted a new application for registration but it was declined.
Speaker David Carter has ruled that United Party will lose more than $180,000 in extra party funding and Mr Dunne is effectively an independent MP until he can re-register his party.
Mr Dunne said he was happy volunteers had been able to secure the signatures and details needed.
"Party members have responded extremely well since the Electoral Commission decided to treat United Future as a new party for registration purposes."
He said he was disappointed the commission would not take six to eight weeks to check the validity of the members' forms.
"Even if it was to check every one of the memberships, not just a sample, it would not be unrealistic to expect the process to be completed within five working days," Mr Dunne said.
