The Dons are looking to wrap up a famous hat-trick of wins against Celtic by beating the champions at Parkhead on Saturday, ahead of their final two fixtures with Dundee United and Motherwell next week.
They lead Stuart McCall’s Fir Park side by four points in the race to finish runners-up to the Hoops.
But McGinn insists the League Cup winners have already proved this season that they have the bottle to handle pressure situations and insist they will be fearless as they take on Neil Lennon’s team.
The Pittodrie outfit’s 13-goal top scorer told RedTV: “Celtic are coming off the back of last week’s performance when they beat Inverness 6-0 and they will want to get near to that 100-point mark.
“We know it’s another hard game for ourselves. But it’s a game we are looking forward to. It’s a big week in our season and we’re four points clear now so it’s still in our own hands.
“Our next two games are obviously going to be massive - two big away games against Celtic and Dundee United. So there is plenty to play for and plenty to look forward to as well.
“Since I’ve been here I’ve come to know that it is a massive club. Teams come here and want to beat us in our own back yard.
“But we are at the stage now where we don’t fear anyone. We want to push on and finish second. It’s exciting times for the club and we have nothing to fear down there at Celtic.
“Hopefully all our hard work over the season will pay off in these final three games.”