This depends on far off your eyes are. I wear glasses and take them off when I am using the camera. My eyes are about 20/30~35.
The D600 has a diopter adjustment so everything will be clear when you are looking through the camera. I do not know how much adjustment can be had, but you should swing by the camera store and try it again without your glasses and see if you can use this option. Focus on an object, take your glasses off, then adjust the diopter wheel until everything is sharp as a tack again and you are all set.