DHL indicated that the half of the job cuts are due to a decline in car production and half are the result of anticipated "efficiency savings", the union added.
"DHL must not attempt to make permanent full-time staff redundant while continuing to outsource work to sub-contractors," Matt Draper, Unite national officer for logistics, said.
Last month India's Tata Motors Ltd said it expected to shed about 1,100 temporary jobs at Jaguar Land Rover after it raised the cost-cutting target at its luxury unit by 1 billion pounds ($1.3 billion) to ride out the disruptions caused by the coronavirus outbreak.
DHL and Jaguar Land Rover were not immediately available for comment.
This story has been published from a wire agency feed without modifications to the text. Only the headline has been changed.