The odds on Hughton leaving Carrow Road shortened after the loss on the south coast, where the Norwich boss was subjected to chants of "you don't know what you're doing" after making a triple second-half substitution.
"For the majority of the game a very good Southampton team were better than us and if you concede three goals like we did you make life very difficult for themselves," Hughton said.
"It's never nice to hear those chants but I understand. We have more than 2,000 supporters who have travelled to watch the game and it's their club and team, and they want to see a team competing.
"What they saw for too long a periods was a Southampton team that were better than us. It's never nice but you have to take the criticism on the chin."
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