Howe is once again the overwhelming favourite to succeed Neil Lennon as the next permanent manager at Parkhead and is expected to be confirmed in due course.
The saga has been rumbling on for weeks with Howe’s choice of backroom staff a reported sticking point in negotiations.
Regardless of Howe’s reasons for the hold up, Mills reckons it’s only natural the Celtic support will query whether the former Bournemouth manager really wanted to come to the club in the first place or whether he only took it after failing to land serious consideration elsewhere.
As a result, the pundit believes Howe will be given a much shorter leash at Celtic compared with previous managers in the eyes of the fans.
Speaking to Football Insider, Mills said: “If somebody wants you, they want you. You have to make up your mind ‘Do I really want to go or not?’ Make that decision and stick with it.
“It puts you on the wrong foot with the fans because they’re thinking ‘He doesn’t really want to be here. He wants to be somewhere else.’
“The moment you have a couple of bad results they start going ‘Well, he didn’t want to be here in the first place, we were second choice. He’s only come here for the money.’
“You don’t really want to start like that.”