Football League chairman Greg Clarke has ruled out any chance of Celtic joining League One or the Championship.
A report on Sunday claimed Celtic were so keen to join English football that they were in talks over a move into League One.
Club sources have insisted that is not the case and Clarke himself said it would be "disrespectful" to the Scottish football authorities to enter into any such talks.
Clarke said: "We have absolutely no intention of having any discussions with any club from another national league regarding membership of our competition.
"This would be highly disrespectful to the Scottish FA and Scottish Premier League and will not be countenanced by the Football League."