According to reports, the 73-year-old Terminator star filed a declaration of disclosure in their ongoing divorce case.
It's the first time anything in the case has been filed in four years.
In high-profile divorces, a "declaration of disclosure" usually indicates the case is coming to an end.
Schwarzenegger and Shriver are reportedly "trying to wrap things up and this is a good sign they are getting close."
Shriver famously filed for divorce from the Triplets actor on July 1, 2011, after she discovered he had secretly fathered a love child with the then couple's housekeeper, Mildred Patricia "Patty" Baena.
The Hollywood stars were married for 25 years and had no prenuptial agreement.
Joseph Baena was born on October 2, 1997.
Here's the kicker -- Shriver gave birth only days prior. The journalist and Schwarzenegger welcomed their fourth child, son Christopher, on September 27, 1997.
It wasn't until May 2011 that Schwarzenegger's affair and secret love child was exposed.
Joseph is now 23 years old and bulking up, just like his father.
The two have developed a beautiful relationship, and Schwarzenegger is still co-parenting his other adult children -- Katherine, 31, Christina, 29, Patrick, 27, and Christopher, 23 -- with his soon-to-be ex-wife.
Schwarzenegger and Shriver's reportedly had an estimated $400 million at the time of their separation.
Despite their huge net worths, sources reveal the former couple isn't feuding over money
"Sources connected to Arnold and Maria say there were bumps along the way in hammering out a settlement but, since the split is 50/50, there are no serious roadblocks," an insider said.
Despite the nasty split, Schwarzenegger and Shriver are still pals and have even stepped out to support each other on red carpets and at events.
They also do family dinners together with their children.
Schwarzenegger has found love again with his girlfriend of several years, 45-year-old Heather Mulligan. Shriver has reportedly been dating on and off since filing for divorce.