A source close to the Kardashian family told ET on Friday that "Lamar is conscious and was able to say hi to Khloe, but his condition remains guarded."
"Continued prayers for my children and their father," Morales continued. "Thank you for the support and well wishes."
According to another source close to the 35-year-old athlete, when Odom woke up on Friday morning, he pulled the ventilator tube out of his mouth, and briefly said, "Morning -- hi, baby," to Khloe. He also asked to see his children.
The basketball star has been in and out of sleep and is reportedly "not out of the woods." Still in critical condition, Lamar is sedated, back on the ventilator and requiring a breathing mask. “It is too soon to tell,” if Lamar’s condition is improving, the source told ET.
Lamar was found unresponsive at the Love Ranch -- a legal brothel in Crystal, Nevada, where he had reportedly been staying for four days -- on Tuesday. He was placed in a medically induced coma on Wednesday after suffering a heart attack and organ failure, and later was put on dialysis.
Prior to waking up from the coma, a source told ET that there had been encouraging moments, including Lamar briefly fluttering his eyes and, at one point, Kim believed he squeezed her hand.
Morales flew to Las Vegas with Destiny and Lamar Jr. on Wednesday so the kids could be with their father. The children issued a statement on Thursday.
"Thanks for your outpouring of prayers and support for our dad," Destiny and Lamar Odom Jr. said in the statement to ET. "We are here with our family and friends. We appreciate everyone respecting our privacy at this time. We ask for your continued prayers."