After starting the Premier League campaign among the group jostling for European qualification, Mauricio Pochettino's men have slipped into mid-table and currently sit 18 points below fourth-placed Arsenal.
|40/1||Rickie Lambert is 40/1 with PaddyPower to score the first goal in a 3-1 Southampton win against Newcastle|
"We aimed for fourth this season and people laughed at us - but they didn't laugh at us straight away, when we were second, they waited until we dropped off a bit," the striker told the club's official website.
"Our desire is to get into the top four and that's the way the club has been run in the past four years.
"That's the vision the players have and it's the one that the club has so, for me, it's what the players still want going forward and it's what we're expecting, to be honest."
Southampton host Newcastle, who are one point above them in the table, on Saturday and Lambert believes that finishing above Alan Pardew's men at the end of the season is the minimum aim.
He declared: "We definitely believe that we can finish above teams like Newcastle. It's up to us to push on."