The 34-year-old star is heartbroken over his wife filing for divorce last Friday, and further upset with his 15-year-old daughter from a previous relationship for saying 'No one thought they were going to last, so honestly, who cares', reported Hollywood Life.
"When Destiny put that thing up, he was furious. He was screaming, 'What does Destiny think she is doing'?" a source said.
Odom then reportedly asked Destiny's mother, Liza Morales - with whom he also has 11-year-old Lamar Jr - to make her apologise, but she refused, saying she was only speaking her mind.
"I don't want it to happen anyways. I have him all to myself now," Destiny said.
Los Angeles Clippers player Odom is currently in California, and it is unknown whether he will make the trip to New York to see Liza and their children over the festive period.