fully integrated headset question

I built up my new gangsta track with its fully integrated headset today, and I believe I took the right steps, but there seems to be a problem nonetheless...

Please bear with me here, since I have to try and explain with my limited knowledge of your language and the subject matter.

after installation I lifted the front wheel up and pulled on the stem to see if it would move vertically, which it doesn't. But pulling the stem forward and back I could feel the fork move ever so slightly horizontally. less than 1mm I would say.

my questions now are. Is that normal/ok? How can I fix that? (I already loosened the stem again and tightened the top cap) What would be the worst case scenario if unattended?

thanks for all the help

sebastian

Leaving the bearings loose will eventually lead to the destruction of the headset bearings, provided the star is not sliding up the forks tube, the top cap is more than likely fouling the the fork tube.