First-team coach Billy McKinlay insists Fulham cannot afford to rest on their laurels and must continue to try to progress.
Their 1-0 win over Liverpool, their first at Anfield in their history, took the Cottagers level with the eighth-placed Reds on 49 points.
One more win would virtually guarantee them a top-10 finish but McKinlay has stressed they should not settle for that.
“We have got a good side and we have always known that,” said the coach, who has stood in for ill manager Martin Jol for the last two matches.
“I don’t think you need to shout from the rooftops. We think we have a good club there, we do our business in the correct manner and hopefully that transmits on to the football pitch.
“We have had a good three or four years and we want to keep progressing and challenge at the top of the table.
“Standing still means you are moving backwards. It is onwards and upwards, that is the message we try to push at the club.”
McKinlay felt the way Fulham bounced back from a woeful 4-0 hammering at Everton three days previously was a credit to the players, nine of whom started at Goodison Park.
“I re-iterated to them why we didn’t do so well on Saturday,” added McKinlay.
“They are an experienced bunch of players and they know the score.
“I gave them a little reminder of what we are capable of and what we needed to get back to.”
Martin Skrtel’s fifth-minute own goal proved the difference and it was created by two former Liverpool players, with John Arne Riise crossing for ex-youth team player Alex Kacaniklic to deflect into the path of the Slovakia defender.