Condor is hoping to start high-speed passenger sailings again from Friday 21 May.
That is only if travel and quarantine restrictions in the UK, France, and Channel Islands are relaxed by then.
This news follows the roadmap to recovery announcement from Boris Johnson, which included the hope that international travel could resume from 17 May at the earliest.
"We are absolutely committed to a resumption in passenger services and the recent surge in interest following the British government’s announcement last week has given us cause for optimism.
"Any restart does, though, require an agreement on border opening and currently there is no certainty when any easing of such controls will be possible." - Elwyn Dop, Condor's Operations Director.
A Jersey roadmap, including news on plans to ease Jersey's border restrictions, is due to be unveiled before the end of this week.
The Commodore Clipper will carry on running daily trips between the Channel Islands and Portsmouth, as well as the fortnightly round trips to St Malo.
Condor says it will contact passengers planned to travel with them before 21 May.
Jersey and Guernsey's Chambers of Commerce saddened by Blue Islands' collapse
Aurigny announces inter-islands flights
Loganair steps in to take some Blue Islands routes
Blue Islands cancels upcoming flights as airline ceases trading
Simon Calder: 'To lose one airline is unfortunate, two looks like carelessness'
Guernsey creative David Robilliard awarded Blue Plaque
Guernsey Conservation Volunteers win King's Award
Winners pick up awards for providing Guernsey's best customer service
