My first post, hello to the community!

After purchasing a Bulova Lunar Pilot (96K111), I noticed that the second hand of the stopwatch hits the center of the 12 o'clock index perfectly.
However, the hand wobbles back and forth a little.
This means that, depending on the movement of my arm, it is slightly (very slightly) to the right of 12 index. A light tap on the case brings the hand back to the center of 12 o'clock.
Is this a normal phenomenon with this watch?