Julian Pitts, of Begbies Traynor, was appointed as administrator to the £1.5m-turnover, Wakefield-based company on 5 February.
A spokeswoman for Begbies said: "Senior Graphic Machinery continues to trade and the administrator is looking to sell the company in its entirety if possible.
"If that is not achieved, other options will be looked at. At this point no redundancies have been made."
Auction specialist Eddisons has also been enlisted to help find a buyer for the business, with an advert currently running on its website.
Senior Graphic Machinery supplies Heidelberg cylinder presses for a number of finishing processes, including die-cutting, creasing, embossing and hot-foil stamping.