The Hoops have been without a permanent boss ever since Brendan Rodgers left for Leicester City back in February, with Neil Lennon stepping into the breach to become the interim coach until the end of the current season.
Various big names have been linked with the job and now Sutton has claimed that ex-Manchester United, Chelsea and Real Madrid manager Mourinho has in fact been made an offer by the Celtic hierarchy.
Reports in Italy surfaced last month claiming Mourinho did indeed have an offer on the table from the Premiership champions, and speaking as a pundit on BT Sport, via Sport Bible, Sutton explained: “It’s so tough to stand here and say who will be the next Celtic manager because it’s a big job.
“There’s going to be a lot of managers in for it.
“Mourinho was heavily linked and I’m led to believe that there was something in that in terms of there being an offer.
“But why would he take the Celtic job? I just don’t get it.
“I don’t know the exact terms but there was an offer.”
What do you think of Sutton’s comments, and is there any way Mourinho could realistically become the next Celtic boss this summer?
Let us know in the comments section below…