The 54-year-old was appointed as Mauricio Pellegrino's successor in March with the Saints one point and one place above the relegation zone.
Speaking to reporters after the match, Hughes confessed that he would like the chance to continue his progress from the past two months.
"I have been able to make an impact," he said. "I'm a professional football manager and I would love the opportunity. I would imagine the club have had discussions probably ever since I walked through the door in terms of what they would do.
"There were two scenarios if we went down or we stayed up. My view is they will make a quick decision one way or the other. If it involves me I will be delighted.
"Coming here was a risk in terms of reputation damage if it went wrong but the credit all lies with the players and supporters."
Southampton, five points from safety with five games to play on April 14, earned eight points from the last 15 on offer.