"I have agonised over this," said Lineen, "and I have turned down a previous approach from Glasgow. I can't say too much, but this time I have decided that I want to make the change and become involved at this level in what is an exciting time for Scottish rugby."
There are also reports that Shade Munro, the former Scottish internationalist who coaches Glasgow Hawks, is the likely man to join Lineen in a new team to lead the Warriors.
Glasgow's chief executive, David Jordan, insisted that no appointment or job offer had been made, to Lineen or any candidate. "We will be holding a formal interviewing process this week," said Jordan, "so it would be plain wrong to make any assumption just now that any person has been offered any coaching position with us."
One obstacle to the appointment of Lineen and Munro could be the SRU's selection criteria for these coaching positions which state that experience of coaching professional sides would be a necessary quality.
According to a Warriors' insider: "That gives the bosses a real problem as the favoured candidates all have limited experience of dealing with professional players. It is an issue that we and the SRU have to face up to - a change of direction that must be considered.
"It is extremely difficult for someone in club coaching in Scotland to make the leap up to the professional sides, but if we are to improve the quality of coaching in Scotland, we have to show that, if club coaches are good enough, then just like club players, they can make the step up to the pro teams. Above all, we have to see that these posts are filled from within Scotland."
Another Glasgow source said: "Lineen has done a terrific job with the backs at Boroughmuir. They have not always been individually gifted, but he has made them play as a unit, and they have always played inventive rugby - the only question is whether he is ready and able to step up to the full head coaching position. Indeed, there could be a variety of outcomes in the way the two coaching jobs are filled. Glasgow may stick to a head coach/assistant coach set-up or appoint co-coaches, and there could also be a team facilitator, rather than a manager, to leave the coaches free to work solely on coaching."