Sharing an image of a bouquet of flowers on Friday, Ellis-Bextor updated fans on Instagram, saying: "Hello all. Just to let you know I'm doing ok. I've been so well looked after at home and am currently laid up on a sofa surrounded by my 3 smallest boys.
"I've got some impressive bruises and a swollen and newly glued forehead which I'm completely fascinated by.
"If I hurt myself, I'm always satisfied by a spectacular healing process and my puffy face has not disappointed."
She thanked fans for their kind messages. "Quite overwhelming really, and almost worth falling off my bike for," she added.
She said she felt "incredibly lucky" to have not broken anything and was fortunate to have so much support.
The singer was taken to West Middlesex Hospital in West London following the accident.
Ellis-Bextor, whose hit songs include Groovejet (If This Ain't Love) and Murder On The Dancefloor, made it to the final of the 11th series of Strictly Come Dancing in 2013, securing fourth place.
During lockdown she has been entertaining fans by hosting "kitchen discos" from her house every Friday night, usually wearing sparkly outfits and accompanied by her husband and five children.
She told fans in her latest post: "Have a boogie for me. I'll be dancing with you again in no time."
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