Valladolid came third in the Segunda Division last campaign and were promoted via the play-offs but have found life back in the top flight much to their liking.
Dukic's side sit eighth in the table ahead of Sunday's trip to Getafe, five points clear of the relegation zone and only two points adrift of the European places.
Valladolid have lost only once in six matches and drew 1-1 with Valencia last time out, but survival is the only thing on the manager's mind.
Dukic told www.realvalladolid.es: "We can not forget who we are or where we come from. Our only goal is to stay and suffer to get the 45 points we'll need. Then we all have dreams, of course, but first things first."
And former Serbia international Dukic is expecting a tough outing against Getafe, who trail their opponents by two points and are looking to avoid a third straight loss.
Dukic said: "They are a complete side, well balanced, well organised in defence and with high quality in all areas.
"They defend very well and are fast on the counter-attack. They do not care too much if you beat them on possession because they are very fast and dangerous."
Defender Antonio Rukavina and goalkeeper Dani Hernandez could be available for Valladolid after returning to training this week but defenders Marc Valiente and Sereno remain sidelined.