Hi, thank you for contacting JustAnswer.com. My name is Russell. I will do my best to provide the right answer to your question.
Is your Konica-Minolta printer's driver set to buffer printouts? if so, disable that setting, save the changed setting, and try again. (And if not, enable that setting, save the changed setting, and try again.)
Is your K-M printer on a networked connection? or directly connected by a USB cable?
Is your computer that you print from, an Apple computer, or a Windows PC?
What error message does 'going offline' produce, on the computer?
Is there some other message on the printer itself, once it has gone offline?