The Cottagers currently sit in 10th place but the table is very congested with just four points separating eighth-placed Sunderland from 15th-placed Aston Villa.
However the 39-year-old thinks the 2010 Europa League finalists will finish strongly and have a good chance of achieving the club's goals for the season.
Schwarzer told Fulham's official website: "A top-10 finish was our target at the start of the season and there's no doubt that's where we want to be at the end.
"We're looking at getting those 40 points as quickly as possible and after that we can start thinking about the possibilities of where we could finish."
The former Middlesbrough keeper believes the club have progressed every season he has been there and is keen for the upward trend to continue.
"Over the past four years we've had a good record in terms of our finishing position in the league," he said.
"We were seventh in my first season here, and although we dropped off a bit during the 2009-10 season, it was softened by reaching the final of the Europa League. Then, of course, we finished eighth last season.
"We want to continue building on the progress we've already made and to be able to finish highly again is invaluable really."