The 35-year-old basketball star's recovery seems to continue to show some positive signs, including talking more, his family said in a statement to ET on Thursday.
"To our overwhelming delight, Lamar's courageous improvement continues on the incline in Los Angeles," the statement reads. "He is beginning to gradually flourish both mentally and physically. His use of speech has increased and he's more cognitively responsive. His medical team has executed an aggressive therapy regimen to aid in his progress."
And in a not so subtle way, they also show their support for Khloe Kardashian, after the two called off their divorce on Wednesday. Khloe's lawyer, Laura Wasser, filed to have the two's divorce filing withdrawn, and court documents show that Lamar himself signed the new filing.
"As a family, we will remain united in our love and devotion to Lamar's health and well-being. Again, that is our NUMBER ONE priority," they stress. "In SINCERELY loving Lamar, we truly love and respect whomever he loves. We always have and will continue to do so. Together as a team, we will support and encourage him always."
The 31-year-old reality star has stayed by Lamar's side since Oct. 13, after he was found unresponsive at the Love Ranch brothel in Crystal, Nevada. On Monday, Lamar was transferred from Sunrise Hospital in Nevada to Cedars-Sinai in Los Angeles, California, to receive more specialized treatment.
A source close to the family told ET on Monday that Odom is "still very weak." He also continues to receive dialysis after kidney failure.
"He is showing improvement in his condition, however, regaining complete organ function continues to be a top medical priority," the source said.
"You can never be prepared for an experience like this, but without the outpouring of love and endless prayers that Lamar has received and the strength I was given from my loved ones, it would have been difficult to endure," Khloe wrote on her website and phone app. "Thank you for your continued support. God is great!!"