The fourth attempt was due to start yesterday, but the company responsible for the spill, PTTEP Australasia, released a statement saying work would be pushed back to tomorrow.
Oil and gas began flowing from a well at the Montara oilfield, more than 200km off Western Australia's northwest coast, on August 21.
PTTEP, a Thai-based company which operates the oilfield, has failed three times to plug the leaking well with mud.
The statement said the latest effort to stop the leak had been delayed because "whipstock" equipment, used to direct the drill had failed.
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