The 39-year-old goalkeeper has been a mainstay in the Cottagers' side since joining from Middlesbrough in 2008.
Last month he committed his future to the west Londoners for another season and the veteran goalkeeper wants to go even further.
Schwarzer wants to represent Australia at the 2014 World Cup and, despite the fact he would be 41 at the time, believes it is well within reach.
"It's great, I am living the dream," he said. "I am playing football at the highest level and I am almost 40 years old.
"There are not too many of us that can say that so I am still playing because I love playing.
"As long as you love playing and you're still good enough to play at this level then I want to continue.
"I still have ambitions to go and represent Australia in another World Cup in 2014, that is my ultimate goal and I am working towards it."
Schwarzer recently spent a spell out with a spinal injury but returned for the trip to Manchester City and Saturday's home clash with Stoke, where Pavel Pogrebnyak's debut goal helped Fulham to a 2-1 victory.
"I thought the performance was pretty good," Schwarzer said.
"If you look at the possession - while I don't know exactly what it was - it was pretty much in our favour for most of the game.
"I thought if anything we were a little bit disappointed in the end that we still gave Stoke an opportunity to get back into the game because of the chances we created and the way we played football.
"I think we deserved to have the game out of their reach a lot sooner.
"That wasn't to be and you can never knock their determination and fighting spirit.
"You know if Stoke get a sniff they can get back in the game, you know you're going to be into a real fight to hold on to that lead."
While Schwarzer was frustrated to concede Ryan Shawcross' header, he was relieved not to suffer the same misfortune as opposite number Thomas Sorensen.
The Denmark international's own goal proved decisive as a Clint Dempsey long-range effort rattled the crossbar and went in off the goalkeeper's back.
"You always feel for a goalkeeper when they concede a goal that people would adjudge to be a soft goal," Schwarzer added.
"Obviously he was a little bit unlucky as it bounced back off the crossbar and came off him and went in the back of the goal. It is never nice."
Sorensen was understandably frustrated after the match, which marked Stoke's fourth successive league defeat.
"They got two goals but we had the same amount of chances and we didn't score," he said.
"Sometimes it is about getting that first goal and for some time now we haven't been getting the first goal, which is disappointing.
"Now we are looking at any game to boost confidence.
"We were in quite a similar position before Christmas and then we went on to win I think five out of six games.
"In the Premier League, it is small, small margins. With a little bit of luck and a little bit of quality and you are there again.
"I am not worried at this time but we can agree we need some points."