OK. Your time is incorrect by a second.
Why?
Yes you need to add a second to your watch to be accurate.
Why do we need to add an extra second to the day? Historically the second had been defined as a fraction of the day: one 86,400th of the total time for the sun to return to the same position in the sky.
So don't wait just go and add a second. Will it have any impact on us, don't know until if anyone gave birth to a kid at that movement