Standard Sport understands the club are keen to give Carrick and his squad the opportunity to turn their form around following a dismal start to the season in which their only wins have come against newly-promoted Ipswich and Champions League debutants Sabah.
“I am surprised, but I am happy because I was absolutely certain that what I witnessed on Sunday would be the end of Michael,” Neville said on Sky Sports.
Michael Carrick remains Manchester United head coach
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“It looked like he was walking round at the end on his own with the players behind him, like it was almost a goodbye lap, he is waving to the fans to say in almost an apologetic manner, but also a goodbye, so I am really surprised that ultimately Michael is still in a job.
“I am happy with it because the fact of the matter is it was very difficult on Sunday. How it is going to go over the next couple of weeks, I have no idea.
“But I hope he can get somehow those players to start playing for him again because they haven’t played for him in the last few weeks.”