The Hammers goalkeeper insists that they cannot begin to get carried away with their Champions League dream with nine matches still to play.
West Ham United goalkeeper Adrian has told the club's official website the squad cannot afford to get carried away with the dream of breaking into the top four and qualifying for the Champions League.
The Hammers are enjoying a superb season under Slaven Bilic and currently sit fifth in the Premier League table, just two points behind Manchester City in fourth.
If Bilic could steer the side into the top four this season, it would not only be the club's highest league finish for 30 years, but it would see them qualify for Europe's premier competition for the first time in their history.
However, Adrian, who has been in fine form this season, has insisted that the players and fans must continue to take each game as it comes rather than getting carried away with their potential if they are to achieve their ultimate goal.
The Spaniard told the club's website: "Everybody can dream about this [Champions League qualification] but we have to take it step-by-step and just focus on the next game. The West Ham philosophy is like that - we have to keep working and prepare for the next game.
"The league is so tight and the top of the table is so close. If you lose two games in a row you can lose your position so we have to keep our concentration.
"[But] we are in a good position in the table and are confident and we will keep looking to achieve that goal."
The Irons face a trip across London to face in-form rivals Chelsea on Saturday as they look to further enhance their challenge for a place in the top four.
The club travel to Stamford Bridge in a rich vein of form which has seen them win seven of their last 11 Premier League matches and lose just two of their last 16 in the league since late November.
If they can bring all three points back to Upton Park they could leapfrog either Arsenal or Manchester City into the top four, if the Gunners lose at Everton or City are beaten at home by rivals Manchester United.