The Cottagers have been relegated from the Premier League.
Scott Parker is currently managing Fulham on an interim basis after the dismissal of Claudio Ranieri, who is the presently the head coach of AS Roma.
The Former Leicester City manager took over after replacing Slavisa Jokanovic.
The Hoops manager has emerged as a surprise candidate for the Cottagers’ big seat.
Lennon made his return to Park Head after Brendan Rodger’s shocking departure, midway through the season.
The former Hibernian manager has since led the Bhoys to six wins and two draws, without facing a single defeat.
The notable wins include the Old Firm Derby win, followed by the Scottish Cup semi-final win against Aberdeen.
Odds are high for Lennon to continue at Park Head.
Lennon was only appointed on an interim basis.
However, the last two victories suggest that Lennon is in pole position to take over the managerial role permanently.
He has a success rate of 70%, the highest of any Hoops gaffer.
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The Celts are nearing towards their eighth straight Premiership title this season. Furthermore, the chances of winning a domestic treble are high, as they are set to play Hearts in the Scottish Cup finals next month.