Does the volume of a glass of sparkling water change when the gas escapes?

"Does the overall liquid volume of carbonated water change measurably as the CO2 gas leaves solution? If it does, opening a bottle of soda, noting it's liquid level, then allowing it to lose it's carbonation, should reveal a lowered liquid level in the bottle, however small.

It does NOT change, you say (perhaps)?

Draw a bit of soda into an eyedropper, then watch as the liquid quantity amazingly decreases as the dissolved gas rises up in the area of the tube above the liquid!"
[From thescienceforum.com 2014 article, no longer online]