The Whites are heading into the final two games of their season knowing that winning both of them may not be enough to avoid relegation as they need results elsewhere to go their way.
Leeds will first host Brighton in their last home game of the season on Sunday, which will be followed by a trip to the capital to take on Brentford on 22nd May.
Both the Bees and the Seagulls are already safe and have nothing to play for this season, which many believe could make it a bit easier for Leeds to get positive results in their final two games of this season, but Giles is not expecting the Whites to get any easy points.
The former Leeds star insists that both Brighton and Brentford will have a go at Leeds, but he is hoping the Yorkshire giants will have luck on their side.
Asked whether he thinks Leeds will be able to pull out results against Brentford and Brighton, Giles told Off The Ball: “I hope so.
“And at the same time, we are hoping that Burnley [slip up], they are in big trouble as well, they have got a couple of tough matches.
“Leeds could be dependent on Burnley not doing so well rather than what they are going to do for themselves.
“Obviously, I think the approach would be that they are going to do it, do it on their own, but it is a big ask at this particular stage of the season.
“[Brighton and Brentford] both of them have done okay.
“And I do not think it matters with teams, because they are safe, they are not going to have a go.
“I would be surprised at that.
“So, both of them are huge matches for Leeds and as far as I am concerned, it is fingers crossed that they do it.”
Everton and Burnley are the other two teams currently in the relegation battle other than Leeds, but both of them boast one match in hand over the Whites.