Davis, who is a former chief executive of the FA, has claimed that Hodgson was close to acquiring the role on a couple of occasions.
"Roy was considered on other occasions in the past when I was more closely involved," Davies told BBC Radio Five Live. "Sven was chosen and before that Kevin Keegan. Roy has gone on building up his CV.
"My understanding is there was a shortlist this time as well, of more than two people. No there weren't other interviews, but there was lot of research and a lot of talking to other people in the game.
"The FA believe, as I understand it, that they have learnt the lessons of the past and they've carried out a very discreet process with no beauty parades. No secret locations."
Hodgson is expected to hold talks with the FA this afternoon.