With one game remaining before the split, the Leithers have left themselves with an uphill task to finish in the top half of the table. Fenlon's side need to win and hope other results involving Aberdeen and Dundee United, who play each other, and Kilmarnock, who play bottom side Dundee, go their way.
The Hibees boss is aware that standing in their way are the current champions, who could retain their title with a victory. Fenlon has watched his side's top-six chances fritter away in recent months, with one win in 11 SPL games since the turn of the year, but he is looking for his players to concentrate solely on getting three points.
"Personally there is a frustration but we don't want the players to be frustrated," he said.
"We want the players to go and enjoy it. It is a fantastic stadium and a fantastic occasion, that's what you want to be playing in so we have to embrace it.
"We know it is going to be very difficult on the basis of having to beat Celtic with other results going for us. But we have to make sure we approach it in the right manner because Celtic have a lot to play for as well.
"With them having the opportunity to win the league, you would imagine their crowd and players will be up for it, so we have to make sure we start positively and sprightly.
"We have to make sure we stand up and be counted early in the game, that is really important. We need to try to take the game to Celtic at times and be solid at other times.
"But we have to make sure we stay in the game for a long period and then obviously there maybe comes a time when we have to throw the kitchen sink at them.
"But in football things can happen and we have to make sure that if things go for us elsewhere, that we do our own business right."
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- Dundee United