Burlington went into administration at the beginning of the month with insolvency practitioner Tenon Recovery.
Since then, several companies have been linked with the business, including east London-based printer Blue Printing Company, which has since retracted its interest in the company's assets.
Despite the length of time that has passed since the company went into administration, Tenon said it is still confident of selling the company as a going concern.
Spokesman Andrew Rumsey told PrintWeek: "We are closer to a deal than we were, but it is still not finalised."
He added that Tenon hoped to have it finalised in the next week, but could not guarantee anything at this point.