The Australian veteran, who has 104 international caps, is out of contract in the summer but is hopeful of staying with the West London side. The 40-year-old joined Fulham in 2008 after 11 years with Middlesbrough and has been a key member of the squad ever since.
"I feel really good and don't think the age thing is hindering my performance in any way," Schwarzer told The Fulham Chronicle. "I've had some initial discussions, and the intentions are there at the club to keep me."
Schwarzer also insists he wants to remain as a first-choice goalkeeper in order to secure his spot in the Socceroos squad in next year's World Cup in Brazil.
"I want to be playing each week - that's key for me," Schwarzer said. "I love playing and don't want to be No. 2 anywhere.
"The World Cup is also a huge priority, and the reality is if I am not playing I don't think it would be possible to be a part of the national team.
"I just want to be out there and enjoy every minute - especially at this stage of my career. If that means I have to move on at the end of the season, then that's fine also. Let's just see how we go."