The Bangladeshi-flagged cargo vessel MV Abdullah left the high-risk area on Wednesday after being released from Somali pirates on Sunday morning.
It is expected to reach Dubai's Al Hamriya port in five days, said SR Shipping Chief Executive Officer Meherul Karim told the media.
He said that the ship left the boundary of the high-risk area at 12pm on Wednesday at a speed of 12 nautical miles (22.2km/h).
The European Union naval warships and India Navy continue to escort the ship from a safe distance, Meherul said adding that MV Abdullah's Captain Mohammed Abdur Rashid is communicating with the EU warships and maintaining the ship's speed and course.
On March 12, Bangladeshi cargo ship MV Abdullah and its 23 crew members, who were held hostage by Somali pirates in the Indian Ocean.
The ship was freed at 12:08am on Saturday, after 32 days of being held hostage.