Fox has argued it had a right to report on election-fraud allegations made by Mr Trump and his lawyers, and that Dominion’s lawsuit would stifle press freedom.
A judge rejected the network’s bid to toss the case in December 2021.
“From the highest levels down, Fox knowingly spread lies about Dominion,” the election machine company said in a statement.
Mr Murdoch is expected to be questioned in person in Los Angeles on Thursday and Friday by lawyers for Dominion, according to a filing in Delaware Superior Court.
The session will be closed to the public.