I did not do this either time, and I would be uneasy with that plan. However, I know more than one couple IRL who always wait until the baby arrives to pick the name.
One couple goes to the hospital with a short list and decides on the name when they meet the baby. They've done 3 kids this way, and it seems to work for them. AND, they are absolutely adamant about NOT finding out the sex of the baby beforehand!
Another couple I know just completely wings it! They've named two kids using this method.
If it works for you, don't hesitate to do it!