The Dane is keen to keep momentum going after securing a point against Norwich on Saturday, and understands fans' expectations are changing in light of recent success
The Swans ended a three-match losing run with a 2-2 draw against Norwich at Carrow Road on Saturday, and lie ninth - two points ahead of 10th-placed Fulham having played a game more.
And Laudrup, who took over the club when Brendan Rogers departed for Liverpool in the summer, wants to continue the progress Swansea have made since reaching the Premier League in 2011.
|LAUDRUP CONTENT WITH DRAW
|33/1||Michu is 33/1 with bet365 to finish the season as the Premier League's top goalscorer
"The people in Swansea are very realistic, but you must also accept that when you get the taste of success you like it and want more. You don't want to be down at the bottom.
"It will be very difficult for me, the club and players to say in August that if we can finish the season in 17th with 40 points then that would be a success.
"Maybe it would be because we are still one of the bottom clubs in terms of transfers and salaries, but it would still be hard to say that.
"It will be a difficult year for us next year and that's why we must do well in the transfer window and keep as many of our important players as possible."