Southampton chairman Rupert Lowe was reported as saying that there would be no attempt to prevent Strachan from returning to Elland Road should he wish to, increasing the pressure on the ex-Leeds captain to make a firm decision.
Bookies have made Gordon Strachan the firm favourite to take over, despite noises coming out of Elland Road suggesting they have assured Saints they will not do any poaching.
Meanwhile, it is understood that caretaker-boss Eddie Gray will still be in charge for Saturday's match against Bolton.