Since resigning as leader last month, he has been gauging support among the membership through a postal ballot.
Read more: • Conservative Party down to one board member• Colin Craig asks for forgiveness
He said he had received around 2000 responses from members, and around 75 per cent had been supportive.
The Conservatives have slumped in the polls since Mr Craig's resignation and the party's subsequent collapse. In the latest TV3 poll, the party picked up just 0.7 per cent of votes - down from 4.1 per cent on election day.
Mr Craig said he would be surprised if the polls hadn't fallen given the allegations against him and the party's near-disintegration last month.
After resigning, he held a press conference with his wife Helen to admit inappropriate conduct with his former press secretary Rachael MacGregor.
The details of this conduct were suppressed by a confidentiality agreement signed between Mr Craig and Ms MacGregor.
Despite both parties saying they wanted to waive the agreement, it still remains in place.
Mr Craig said this matter would not play a big part in this afternoon's press conference.
After Mr Craig's admissions of inappropriate behaviour, the party's board all but dissolved. The party is now attempting to elect new board members.