The company is concerned about bringing staff together to work on the upgrade during the coronavirus outbreak.
BP confirmed it has flown one suspected case off the Clair Ridge platform.
The rare visitor was identified swimming through an offshore wind farm 17 miles off the east coast.
Proceedings were disrupted twice by hecklers in the gallery, who were led away by police.
The Scottish White Fish Producers' Association said quotas would make conditions "extremely challenging".
