Tina is the first celebrity to have pulled out of the winter sports competition, after she suffered an injury while practicing on a ski jump.
Following her exit, the show has issued the actress with an apology, as her fall was a result of the landing area not being cleared properly.
According to the Mail Online, a spokesperson for Channel 4 has said: "The Jump adheres to the strictest safety protocols to ensure that the health and safety of the competitors is always paramount.
"Tina's fall was caused by simple human error when members of the ground crew failed to clear the outrun. All those involved have been spoken to and extra procedures have now been put in place by the producers to ensure that this will not happen again."
"We're very sorry to lose Tina from the competition," they added. "And wish her a very speedy recovery."
Tina, meanwhile, revealed she is hoping to return to the slopes next year, as show bosses have invited her back to The Jump to compete in its 2017 series.
She told the Daily Mirror: "I've been invited back to compete next year and I really hope I can do that... I am in a lot of pain and I'm very upset to be leaving in these circumstances."
The 44-year-old admitted she was frustrated at her exit, as her injury hadn't directly been her fault.
She said: "This fall wasn't my fault and as I was doing so well in the competition, it's very frustrating."
Tina isn't the only celebrity to have suffered an injury since arriving out in Austria for The Jump.
Olympic gold medallist Rebecca Adlington recently dislocated her shoulder during training and was rushed to hospital. Producers were concerned for her future on the show after the nasty incident and Rebecca has since said the pain she endured during the fall had been 'worse than childbirth.'
She told show host Davina McCall: "What people didn't see in the edited footage is that I was lying there with a dislocated shoulder for 40 minutes. It was worse than childbirth and it's still horrible now because people keep knocking my arm."
Reports revealed Louisa Lytton also injured her hand before The Jump's opening episode had aired on screens. She was still able to compete on the show, though, and unfortunately became the first celebrity to be eliminated.
For exclusive competitions and amazing prizes visit Reveal's Facebook page NOW!