The 29-year-old was jailed for six years last March for sexually touching and grooming the 15-year-old fan.
He was refused leave to appeal his conviction and sentence in July, but launched a second bid late last year.
A panel of three appeal judges turned down the former Sunderland player's latest bid.
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Ex-England footballer Adam Johnson has lost a Court of Appeal challenge against his conviction for sexual activity with a schoolgirl.