Wilkins has been in charge at the Withdean Stadium since September, when he replaced Mark McGhee.
And despite the south coast side languishing down in 17th position in League One, Wilkins is confident his side have a s
"I am extremely proud to be given the responsibility to make the necessary changes to help move our club onwards and upwards," he said.
"During this period of transition my passion and desire to make our club successful remains as strong as ever.
"I sincerely hope that everybody connected with our club, from our award winning community department to our fantastic loyal supporters, remain upbeat and positive as we move towards a bright future."