Francis currently has a part-time coaching role at Stoke - and admitted he would be reluctant to leave that post.
Gerry Francis: "I have spoken to Joe Kinnear and I have been made an offer.
Francis Staying At Stoke!
"In the next few days we'll meet and discuss that offer. Newcastle is a tremendous football club and it would be an honour to coach there so it's nice to be asked to do that.
"I've not had much chance to talk to him (Kinnear). It's a very unusual situation there, that's why we'll be meeting.
"Stoke are a nice team and I'm enjoying that at the moment.
"We are all trying to prove the bookmakers wrong and we're working hard on that so I'm going to look at the offer and decide over the next couple of days.
"The time factor also comes into it. I don't know how long Joe is going to be there and that's a difficult job."