There are ongoing concerns the retrial of Margaret Anne Otto and Bradley Scott Purkiss could be delayed as it may overlap with another murder trial involving the same defence lawyers.
Ms Otto and Mr Purkiss are co-accused with the murder of Ms Otto's husband and Risdon Vale tattoo artist Dwayne Robert Davies.
Both have pleaded not guilty.
Their joint trial was declared a mistrial during its second week in March and a retrial is set to be scheduled to begin in September.
Ms Otto's lawyers, Greg Melick and Caroline Graves, however, are also involved in a second Supreme Court murder trial starting on July 29 expected to call more than 80 witnesses and run for about seven weeks which would conflict with the proposed start date for the retrial.
At a hearing in the Supreme Court on Tuesday, Mr Purkiss' lawyer Alan Hensley questioned how realistic a September start date was.
The matter was adjourned until 10am on July 5 to be listed before Chief Justice Alan Blow.
Both Ms Otto and Mr Purkiss remain in custody to appear by video-link at the next hearing.