The filing states that Hunter Biden "is not expected to challenge the results of the DNA test or test process."
In a previous application in court, Hunter Biden denied that he had fathered the child, but agreed in October to a paternity test.
Neither Joe Biden's campaign nor a lawyer for Hunter Biden immediately responded to the request for comment.
It's the latest development to push the former vice president's son into the limelight when Joe Biden seeks Democratic presidential nomination in 2020. The news came just hours before ten Democratic challengers met in Atlanta for a debate.
Lunden Alexis Roberts, 28, filed suit in May for child support and care for the child, who was born in August 201
In Wednesday's filing, Roberts asked the court to seal the name and identify information about the child pending court to grant a paternity decision as a result of the DNA test.