Bought a second hand dining table and found a bunch of small holes on the legs. Is it possible to cover them up?

I've been told that it could be from a past wood borer infestation, but now that the wood is so old, re-infestation is unlikely. Hole damage is mainly concentrated on the legs.

Here are pics of the table and hole http://ift.tt/1B4sd8f

Submitted January 24, 2015 at 10:03PM by whydidIbuythis http://ift.tt/1z3XA7K