Dale Graham says the legislative administration committee met Tuesday but was told that staff of the legislature need more time to complete the review.
Graham says he doesn't know when the report will be complete but has promised it will be made public.
Victor Boudreau, a Liberal member of the committee, says staff were still gathering information Monday, need time to write a report and have it translated before it is tabled in the legislature.
Questions have mounted after Davis, the Progressive Conservative member for Campbellton-Restigouche Centre, announced two weeks ago that he would not run again in the upcoming election in September due to unspecified health reasons.
The Progressive Conservative party later said it had to cover $5,125 in rent for 2011-12 for Davis's riding office, and the government said Davis fell behind in his rent again.
Annual reports from the provincial comptroller's office say that Davis claimed his maximum allotment of $40,000 for constituency expenses in the fiscal years of 2011-12 and 2012-13.
Davis has not returned repeated requests for comment.