Roy Hodgson's side are gearing up for a Europa League semi-final with Hamburg after overcoming Juventus and Wolfsburg on their way to the last four.
With their Premier League safety assured, Doyle is hoping Wolves can take advantage and take a further step to guaranteeing their own top flight status for another season.
The Republic of Ireland striker said: "Fulham are an excellent team and I'm hoping that they are concentrating a little bit on what is a massive game for them in Europe.
"I'm sure they will be trying their best and everything but you just hope that in the back of their mind that takes something out of them."
Doyle will use his own experiences of being relegated with Reading two years ago to try and make sure Wolves do not suffer a similar fate.
He said: "I've had a similar experience with Reading of being this clear of the bottom three (six points) with just a few weeks to go and then we were relegated.
"On the last day of the season, we went down on goal difference with 36 points, and we are still a win away from that, so I feel personally we need more points.
"We have put ourselves in a very good position but we have to get more on top of that.
"The last six weeks to two months have seen us really turn the corner and got ourselves out of the bottom three but I still feel we are two wins away from being able to relax.
"Of course, it depends what teams do next week and the week after - if they get on a run. But two wins and I'm sure we'll be fine.
"It changes every week. Burnley's result at Hull was unexpected. It might give them confidence and they could go on a run. It's not over until it's over."