frankly it sounds to me more like the chalazae - two whitish, somewhat squiggly curly things at either end of the yolk, that keep it from sloshing around too much in the egg.
They are more conspicuous in some eggs than in others.
They have a sort of cloudy milky look, as opposed to a worm would look like LITERALLY a spaghetti noodle type deal, absolutely distinct and contiguous, not at all filmy or splotchy. A google for pix might help.
Worms can occur in eggs, but are rare (and usually sign of a SERIOUS infestation)
Good luck,
Pat