Any visitor who is not staying the night must pay a 5 euro ($5.35) entry fee online before walking into the lagoon city on April 25 - a national holiday and the first of 29 days this year
The European Parliament's official live broadcast showed Ireland's Luke Ming Flanagan wearing a shirt and sitting on the edge of an unmade bed with his legs crossed, rubbing his thighs as he addressed an agriculture committee for two minutes.
Flanagan, of the left-wing Group of the European United Left - Nordic Green Left faction, offered a sanguine explanation of the video call incident:
"I was just back from a run so was in my shorts. Decided to put on a shirt to look kinda respectable! That didn't work out very well!," he told Reuters.
His light-hearted response won him sympathy on social media where many people shared their own struggles with video calls and working from home amid the pandemic.