There had been speculation during the international break about Hasenhuttl's job, but this week chief executive officer Martin Semmens spoke out in support of the Saints boss.
On Semmens' backing, Hasenhuttl said: “He does not need to say this publicly because I feel it every day.
“In the times we have been through together there were definitely more difficult situations than this one and we always find a way to get back to success.
“We know clearly what it is about to be with Southampton in the Premier League and we know clearly this season what success is about for this club.
“We also know about the limits we have compared to the other teams. We don't want to make us smaller than we are, we must be brave like we have been in all the games this season.
“We have been missing a few goals, otherwise we would have taken a few more wins, but we have trust in everybody who is working and playing here."
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