Charlie Webster, 33, who has worked for Sky and ITV, became unwell after watching the Olympic opening ceremony.
She remains in intensive care but doctors have said they are "very happy with Charlie's neurological results".
Her mother said: "The fact Charlotte is now conscious is amazing."
Ms Webster is being kept on dialysis as her kidneys are not responding to treatment and is being supported by a respirator.
Her mother said in a statement that she had been able to speak to her family.
"Charlotte knows she nearly died," she said.
"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.
"Knowing Charlotte, the thing she'll be most annoyed about is that she's missed the Olympics."
Her management said that she managed to say to her mother, "I can't believe you have been here all week", and later, "Have you been to the beach?"
A spokeswoman for the presenter 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."
The former Sky Sports News presenter was admitted to hospital after becoming unwell while watching the opening ceremony of the Olympic Games on August 5.
Doctors initially believed she was dehydrated after the bike ride but her condition deteriorated.
On 9 August she wrote on Twitter: "I'm getting there... awful few days with serious infection #Rio."
Two days later she fell unconscious and was placed into a coma.
The Ride to Rio left the UK on 27 June, with Ms Webster and her colleagues cycling 90 miles a day with only one rest day each week before arriving at the Maracana stadium on 4 August.
It marked the 10th anniversary of a cycle ride undertaken by charity fundraiser Jane Tomlinson before her death.
Mrs Tomlinson was diagnosed with terminal cancer in 2000 and died in 2007 after raising almost Â£2m for charity.

Inverness Caledonian Thistle FC tweeted the plea ahead of Wednesday night's away match against Dundee.
The message included the line: "We have no right to ask, but be there if you can."
It was posted just hours after ICTFC's Highland rivals Ross County beat Hamilton 3-2 in Dingwall.
If Hamilton had won, the Inverness club would have been relegated to the Championship.
County made the game free of charge to watch to home and away fans.
A television sports presenter who contracted malaria in Rio following a 3,000-mile charity cycle ride has been brought out of her medically induced coma, her manager has said.
[NEXT_CONCEPT]
A Scottish Premiership football club fighting relegation has appealed to its fans to show their support at the team's latest crunch game.