The assumption is that if the quality mark was run by an industry body it would be managed by trade associations and others and funded by subscriptions from the firms involved.
A DTI spokesperson confirmed that letters had been sent to all partner members of the quality mark, including contractors, trade associations, warranty providers and local authorities.
Graham Watts, chief executive of the Construction Industry Council, said he would welcome such a move.
He said it was not yet clear exactly how the scheme, now in its pilot stage, would be managed, but that the option of handing it over to the construction industry had been envisaged when the scheme was conceived.
He added that giving the initiative to industry stakeholders to administer would ensure its impartiality.
The DTI confirmed that letters had been sent to all partner members of the quality mark, including contractors
A decision on the future of the scheme is likely to be made next February, when the findings of the review have been considered.
Construction minister Brian Wilson told Building last week that he had called for an interim report on the progress of the scheme's pilots in Birmingham and Somerset.
He said 128 contractors had been recruited and 11,000 potential customers had visited the quality mark website.
Officials will have to gauge how successful the pilots have been before a decision is made to extend the scheme throughout Britain.