Hi. I'm online and happy to answer your question today.
No. There is no need to wear your eye shield outdoors with a gas bubble in your eye. That shield is used primarily to protect your eyeball from being "mashed" by the pillows when you sleep and to remind you not to itch it etc, as it is healing from the surgery.
That being said, some people like to wear the shield for a sense of security and this OK to do.
And, now, the obligatory word from our sponsors: :o)
I hope that this information was helpful for you. Please, allow me get credit for my time and effort in assisting you and press the ACCEPT button for this assist. I will be glad to answer additional questions until you are satisfied. Thank you very much. Positive Feedback and/or Bonus is welcomed and appreciated.