Meanwhile, Louise updated her fans on her injuries on Instagram, sharing a picture of the laceration on her chin with her 587,000 followers.
"Due to a nasty fall I have only gone and fractured my wrist and got 10 (yes 10) stitches in my chin".
The star fell while on her way to rehearsals for 9 to 5, a West End show that Louise is due to star in.
She wrote, 'It breaks my heart to say I am having to take some time out and won't be able to continue with my role in 9-5. "She went to hospital and had stitches".
Revealing how medics have warned her off taking to the West End stage, the Strictly babe added: "Following my doctor's orders".More news: 'That's a load of garbage': Barnaby Joyce rubbishes corruption allegations
She has also shared an Instagram photo of her lying on a hospital bed, along with a statement confirmed she will not be in the show for the opening night but will be on stage at the Savoy Theatre "before you know it".
Redknapp's injury means she's had to pull out of the musical, in which she was due to play Dolly's role as Violet Newstand.
'We hope that Louise will start performances sometime towards the end of March/early April 2019.
A statement from the producers said the recovery time needed means she will not be able to properly rehearse her part in the time left before opening.
"Together we have made the hard decision to delay Louise's start date in the show".More news: Lana Del Ray Releases New Single
Louise looks set to miss the opening night of 9 to 5, which is to be attended by Dolly Parton, 72, herself, as well as weeks of shows.
Amber and Louise were booked to play two of the biggest roles in the whole production.
Redknapp was due to appear on stage alongside Amber Davies, Love Island's 2017 victor, who will play Judy Bernly in the show. Any patrons who would like to exchange their tickets to a performance when Louise has returned to the show should contact their point of sale'.
Opening at the Savoy Theatre in London, the show will run from January to August.More news: California governor deals with stage invader at inauguration - his toddler son