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.
The Electoral Commission has confirmed it received the membership evidence required from the United Future Party to complete its application for party registration lodged on June 11 this year.
The commission will now check the membership evidence and following the checks will give public notice of the application providing two weeks for public comment.
Once public consultation is complete and the applicant has had an opportunity to comment on any public submissions, the Board will make its decision on the application.