Khloe Kardashian has released a statement about Lamar Odom.

He’s out of immediate danger.

Khloe Kardashian, 31, has released her first statement since Lamar Odom, 35, was rushed to hospital last week.

The reality star shared the statement on her website on Tuesday night after Odom was transported to Cedars-Sinai Hospital.

“The past week has been incredibly difficult. I am so thankful to family, friends, and fans, who have sent nothing but prayers and well wishes to Lamar. I also want to take a moment to thank everyone at Sunrise Hospital, including the amazing doctors and nurses for their kindness and diligent work. Under their amazing care, incredible strides have been made. 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. Thank you for your continued support. God is great!!!”

Kardashian has been with her soon-to-be ex-husband Odom in hospital since his collapse last week.

Us Magazine reports that she refused to leave Odom’s bedside. “She hasn’t showered. She’s exhausted,” a source told the mag.

Kardashian had been seeing basketball player James Harden, 26, but TMZ reports she’s put the relationship on hold to care for Odom.

The Odom family also released a statement about his progress on Tuesday.

“As Lamar begins a new chapter in his road to recovery, PLEASE continue to uplift him and the family in prayer. He continues to make miraculous progress, taking a few steps in Los Angeles. We couldn’t be more overjoyed!” the statement said. “We realize Lamar’s continued improvement will not be easy, however his unrelenting strength and faith in GOD will pull him through.”

Odom collapsed in a Las Vegas brothel last Tuesday and was placed in a medically induced coma and on dialysis on Wednesday after being found unconscious, having suffered a heart attack and organ failure.

Take a look at some of our favourite pictures of Khloe and Lamar: