Friends Olivia Hubbard and Freya Miles, both 13, and Millie Short, 14, of Priorslee, have taken on the challenge in memory of their friend's mother who died of the condition.
Sepsis is a life-threatening condition that arises when the body's response to infection causes injury to its own tissues and organs.
The trio, who are hoping to raise £1,500 for the UK Sepsis Trust, will begin their challenge at Shifnal Cricket Club on Saturday.
They will dance at the cricket club from 9am until 11pm before returning to Olivia's home to carry on the dance-a-thon throughout the night.
Olivia's father, Tim Hubbard, will be supporting them during the challenge.
He said: "This is in aid of a very close friend of theirs who unfortunately lost his mom to sepsis after a spell of the common flu bug that was going around at Christmas.
"She was only 44-years-old and it had a devastating effect on the family and all their group of friends.
"To say that I was shocked, but in the same sentence so proud of what they have done, is an understatement."
The girls have already smashed their original target of £1,000 and have set up an online JustGiving fundraising page in a bid to raise as much as they can.
A message posted on the page says: "Unfortunately, a parent of a very close friend lost their battle to sepsis, we are doing this challenge to raise money for the charity and to show our love and support for the family and everyone else who is suffering."
Sepsis accounts for 44,000 deaths annually in the UK.
Symptoms initially present as flu-like but can rapidly deteriorate into a life-threatening condition.
To make a donation visit www.justgiving.com/fundraising/our-24hourchallenge
For more information on the condition and the charity visit sepsistrust.org