The Maritime Union of Australia is pushing for a full independent audit of the operation, on-site maintenance and safety procedures carried out on the $43 billion Gorgon gas project at Barrow Island.
The MUA believes KJV or Chevron must engage a third party to ensure the safety of employees currently working on Boskalis equipment.
Boskalis Australia won an $800 million dredging and construction contract for the project in October 2009.
After meeting with WorkSafe this week, the MUA have made a submission detailing requests regarding safety of equipment and ongoing issues with maintenance and training.
MUA state secretary Chris Cain said it was now important for WorkSafe to inspect the workplaces, cranes and equipment, and the methods Boskalis utilize.
"WorkSafe has previously said they will investigate our claims and it is important now they do so rather than relying on photographs viewed in their office," said Mr Cain.
"Once on site they will be able to truly appreciate the risks our members face and the importance of maintaining world class safety levels."
Mr Cain said that it was vital that Chevron and KJV backed up their talk with action.
"Chevron has said that safety is a core value, and a full independent audit would prove that to our members."
One of the MUA's greatest concerns is the maintenance record within the cranes.
"These cranes need to be fully audited to the manufacturer's specifications and/or Australian standards," said Mr Cain.
"This situation has resulted from there being no log books available or any record of any sort of maintenance program available to our members," he said.