The board of inquiry examining the shooting death of Pte Kovco in Baghdad in April recommenced today after a four-week hiatus.
It opened last month and heard evidence from four of Pte Kovco's soldier colleagues via a videolink from Baghdad.
However, their evidence was plagued by technical problems that caused significant delays.
Today, lawyers for Pte Kovco's parents called on the inquiry to stop using the videolink and instead bring home as many as eight soldiers who are expected to be cross-examined.
Lieutenant Colonel Frank Holles said the videolink was fickle and extremely expensive.
He said that while Pte Kovco's parents understood that bringing the soldiers home for questioning could delay the inquiry, they believed it would be a fairer process.
"The process of taking this evidence by videolink is, (in) my respect for submission, forensically unsatisfactory ...," Lt Col Holles said.
However lawyers representing Pte Kovco's widow, Shelley, said she feared bringing the soldiers home would only blow out the timeline for the inquiry.