Le Tissier, the star of many a successful relegation scrap for Southampton aints during the 1990s, is a backer of the Pinnacle group of investors who are looking to complete a takeover at St Mary's.
The consortium entered a period of exclusivity three weeks ago, during which time they could not be gazumped by other potential investors interested in buying the cash-strapped club.
And optimism is growing on the south coast, not least after a picture of Le Tissier apparently meeting another legendary ex-Saints player, former Newcastle and England boss Keegan, appeared in the local media on Thursday morning.
The club were unable to shed any light on the Keegan link but, with Pinnacle's exclusivity deadline due to expire on Friday, they are eagerly awaiting an announcement.
Current Saints boss, Dutchman Mark Wotte, remains in the dark over his future, and said earlier this week: "The club has to appoint a manager and I hope I can continue in that role but, if not, then they have to make a decision about that."
Southampton will kick off in League One on minus 10 points next season after their parent company entered administration in April.