"The parties have discussed and agreed that a brief and limited continuance of the discovery cut-off, from May 15, 2019 to June 25, 2019, will... allow the parties to focus on a settlement of the case," the lawyers wrote.
A planned May 3 deposition of Hayne by the alleged victim's lawyers was also delayed.
The alleged victim, known in court documents as JV, claims she was a virgin and heavily intoxicated when she met Hayne at a San Jose bar with friends. She is seeking "monetary damages".
San Jose police investigated but opted not to file criminal charges against Hayne.
Hayne has rejected her rape claim and said they "willingly engaged in sexual interaction that did not include sexual intercourse".
JV filed the civil lawsuit in California on December 19, 2017, and a jury trial is scheduled for January 27 next year.