Jesse James Puts L.A. Home Up for Sale, Eyes Austin

05/20/2010 at 11:00 AM EDT

Jesse James Puts L.A. Home Up for Sale, Eyes Austin
Jesse James
Jeffrey Mayer/WireImage
It's been two months since Sandra Bullock moved out of the Orange County home she shared with Jesse James. Now, James is looking to follow suit, PEOPLE has learned.

"Jesse has put his house up for sale," says a source.

The two-story California beachfront property was the couple's home during their nearly five-year marriage. Since Bullock left amid James's infidelity scandal, it has been a place of respite for the motorcycle king and his kids Sunny, 6, Jesse Jr., 12, and Chandler, 15.

But he may soon be spending more time in Austin, Texas, where he's already made an offer on a house, according to another source.

On May 14, James and Bullock were spotted separately in Austin, the adopted hometown where they spent much of their downtime during their marriage. James was in town with daughter Chandler to visit Austin Speed Shop, his custom–car outfit, while Bullock hit her favorite shops with her son Louis and checked in on her restaurant, Bess Bistro.

Might the proximity to Bullock be a motivating factor behind James's move? Time will tell.

"His mind-set is the same as [just after the split], and Jesse feels that as time goes by, his and Sandra's relationship has still not reached the final chapter," says a pal. "He is not giving up hope that Sandra will come back to her family."

In 2009, James's Sunset Beach property was assessed at more than $3.6 million.

Reporting by DAVID CAPLAN

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