The eight objects were confiscated by police in May that year after the dealer failed to produce proof of ownership, and were passed to the museum for analysis earlier this year.
Their identification was made easier by the fact that Tello is one of the excavation sites where the British Museum has been training Iraqi archaeologists since 2016.
"The other items are identical to objects known from excavations at Tello and most likely also originate from the same site," the museum said in a statement.
They will be formally handed to the Iraqi embassy during a ceremony at the museum tomorrow, from where they will return to Iraq.
Iraq's ambassador, Salih Husain Ali, praised the museum's staff for their "exceptional efforts" in identifying the antiquities.
"Such collaboration between Iraq and the United Kingdom is vital for the preservation and the protection of the Iraqi heritage," he said in a statement issued by the museum.
"The protection of antiquities is an international responsibility and in Iraq we aspire to the global cooperation to protect the heritage of Iraq and to restore its looted objects."
The objects include three fired clay cones, each with an identical cuneiform inscription which has been seen on many other items, and references the deity Ningirsu.
There is also a polished, yellowish river pebble and a fragmentary white gypsum mace-head, both of them also inscribed.
Another object is a white marble amulet pendant in the form of a reclining four-legged animal, dating back to around 3,000 BC.
A red marble square stamp seal or amulet pendant, depicting a pair of four-legged animals facing in opposite directions, is from the same period.
The final item is a white chalcedony stamp seal with a flat oval face engraved with the design of a reclining sphinx.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)