The 34-year old former Scotland international and Rangers star was a target for ex-Celtic boss Mowbray last year but he insists his interest goes only as far as that with a possible move to the Riverside Stadium highly unlikely.
"I really don't know where that's come from," Mowbray told the Evening Gazette.
"An agent did enquire with me earlier this week and I told him 'no, there's no room in our midfield'.
"We have got enough midfield players, as Nicky Bailey found out last night by not starting the game and Kevin Thomson is injured, so he didn't start the game.
"I know Barry Ferguson can only play centre midfield so I don't know where that's come from, it's never been in my thoughts.
"It's important for me to say that for the players we've got, Barry's not a player I'm trying to bring to the club."