Southampton are in the bottom three having won just one of eight Premier League games without him since.
Austin told Sky Sports News he is still around five weeks away from returning to first-team action, but has backed his team-mates to pull Southampton out of trouble.
"My gut says we've got a good enough squad to stay in the Premier League but I'm under no illusions that in the Premier League you're given nothing," he said. "We need to perform now."
The striker added: "As players sometimes you've got to look at yourselves, in house, are we not doing the right things?
"I understand where the fans are coming from but they said this about Claude Puel last year and look what happened.
"We've got to get sustainability at the club. That's how it used to be but first and foremost we need to stay in the Premier League."