Lamar Odom reportedly insists he was drunk when he made a topless rap video.

The basketball player - whose four-year marriage to Khloé Kardashian has been rocked by allegations he cheated on her and has been battling an addiction to crack cocaine - has told friends that the clip, which showed him in a Los Angeles bathroom with friend Jamie Sanouthai, slurring his words in a song which referenced being unfaithful and smoking drugs, was shot after he had consumed too much alcohol.

According to TMZ, he also told pals there were no drugs involved and it was just a one-off incident as he is now clean and determined to resurrect his sporting career.

Lamar recently confirmed he is in negotiations to re-sign with the Los Angeles Clippers and is believed to have met with head coach Doc Rivers and Clippers GM Gary Sacks earlier this month.

The road to Lamar's NBA comeback has not been without struggle. The 14-year veteran, who previously played for the Clippers during the 2012-2013 season, was arrested for DUI (Driving Under the Influence) on August 30 and later pleaded not guilty.

At the time of Lamar's arrest, 29-year-old Khloé and the rest of the Kardashian family had been urging him to seek treatment.

The couple have since been attending counselling sessions and are ''using it as a forum to talk through all of their issues''.