Southampton board are standing by manager Ralph Hasenhuttl during this international break.
Saturday's 2-1 defeat to Everton at St Mary's was their fifth in six home games this term - in which they have shipped 21 goals.
It left the South-Coast side, who were walloped 9-0 by Leicester last month, languishing in 19th place and three points from safety.
But The Sun says the Saints hierarchy are not keen to make a change after years of high managerial turnover.
They feel Hasenhuttl is the right man for the job - as proved by last season's impressive salvage operation following Mark Hughes' exit.
The club do recognise the Austrian needs support however and a dip into the transfer market expected in January.
Saints currently lack quality all over the pitch but a right-back, more creativity in midfield and another striker to help out Danny Ings could be prioritised.
