The Maritime and Coastguard Agency say the intention is to now tow the vessel to a holding position in Southampton Water pending a full assessment of her condition.
A decision on the next phase of the salvage operation will be made after the assessment.
It comes after the decision was made last night to not attempt a refloat today due to there being more water on board the car carrier than originally thought.
UPDATE @ 16:37 – The Maritime and Coastguard Agency have confirmed that the Hoegh Osaka is being towed to a new location just inside Portsmouth Harbour, close to the area called Spitbank.
Queen’s Harbour Master Portsmouth has established a temporary exclusion zone of 300 metres around the vessel. Only exempt vessels are to enter the exclusion zone.