It is understood that the man was trapped under the tanker at Ballyrobert Road and died at the scene.
Police have confirmed the fatality and have asked anyone who may have dash-cam footage to come forward.
Inspector Julian Buchanan said: “The incident was reported to police at approximately 1.50pm, involving an green and white oil tanker.
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“Tragically, it is believed that the man was trapped under the vehicle and died as a result of his injuries at the scene.
“The Ballyrobert Road remains closed at this time.
“Our enquiries into the circumstances surrounding the death are continuing and I would appeal to anyone who may have witnessed a green and white oil tanker in the vicinity of Ballyclare or who has dash-cam footage available, to contact officers at the Collision Investigation Unit on 101 quoting reference number 974 01/07/21,” added the officer.