
Jesse has been testifying on the stand this morning, but hasn't mentioned the allegation ... so far.
As we previously reported, Jesse bought a house in Austin and wants to take Sunny there so she can be closer to Sandra Bullock ... who developed a close relationship with Sunny before her divorce from Jesse.
But Janine filed documents trying to stop the move -- saying the Sandra excuse is BS because if she really cared about Jesse's kids ... she would have stayed in California.
Story developing...












