The Fisheries Department says the change in wind direction Monday moved the John I, which is now anchored off Rose Blanche.
The ship drifted aground Saturday, forcing the rescue of 23 crew members.
Surveillance flights Sunday detected a fuel leak of about eight litres, but Fisheries says it had dissipated.
The tug Ryan Leet tried to place a tow line on the John I, but operations were suspended due to deteriorating weather and sea conditions.
The Canadian Coast Guard ship the Earl Grey is en route to Rose Blanche today, while a salvage team plans to board the ship to assess the vessel and determine next steps.