Charlie Webster is in a "serious but stable condition".
The 33-year-old sports presenter has been fighting for her life in Rio after contracting a rare strain of malaria, but her condition is improving and doctors will perform some tests next week to check her kidney function.
A source told The Sun: "She remains in a serious but stable condition.
"Next week the doctors will hopefully take her off dialysis to check her kidney function and everyone is still praying for the best.
"It’s a tough time for Charlie, the anti-malaria medication is making her sick and she’s feeling incredibly groggy."
Her mother Joy has revealed that Charlie has even been communicating from her bed.
She said: "Charlotte knows she nearly died, she mouthed to me earlier ‘look at all the machines keeping me alive.’
"Charlotte is really strong but as the doctors keep reminding me, everyone heals differently.
"I am just so thankful that she’s able to communicate with us again.
"It’s been the worst imaginable time – we have been beside ourselves with worry, but the fact Charlotte is now conscious is amazing."
Doctors are pleased with her neurological results but she remains on dialysis as her kidneys are not responding to treatment.
Medics are now hoping to stabilise the sports reporter’s condition so she can return to Britain for further treatment.
A spokesperson said: "Charlie’s family and friends have been incredibly touched by the overwhelming support and love shown to Charlie today.
"Their main focus now is for Charlie to be stable enough to fly back to the UK."