Blac Chyna and the Kardashians continue to duke it out at trial, but one face has been notably absent … Rob Kardashian, who’s been doing daddy duty at home with his daughter.

Sources close to Rob and Chyna tell TMZ … he’s been home with Dream over the last few weeks trying to keep everything as routine for her as possible … all while her family members and mom are at war.

We’re told Rob has no problem appearing in court if he’s called as a witness, but until that happens, 5-year-old Dream is his top priority.

Rob is Dream’s main caretaker — he’s got her 6 days out of the week — so he feels it’s important to be around her during the family drama.

Chyna revealed Thursday on the stand she didn’t have a personal bank account and hasn’t filed a personal tax return in several years … so this may not be her only court case, and all of this becomes relevant in child custody cases.

The courtroom testimony has been intense … Chyna broke down in tears Thursday recounting the time when Rob leaked her nudes. She also has her version of Rob’s accusations that she held a gun to his head and choked him with a phone charging cord … saying it was all done in jest.