The supermarket giant in return said their former employee had been an "inspiration".
The tweets posted over the weekend tell the story of how the 61-year-old, who was diagnosed with Alzheimer's in her early 50s, has now served her last day working in the store after five years of employment, where she started shortly before her diagnosis.
After being forced to give up her career as a bookkeeper as the illness took hold, Doron's mother applied for and got a job picking in-store for online deliveries in 2012.
When the store was made aware of an official diagnosis less than a year later, Doron reveals his family expected his mother to be told she couldn't be employed.
However, he explains that Sainsbury's instead did everything they could to ensure she stayed working at the store.
He writes that the company "offered regular re-training; changed her hours; had regular welfare meetings with her and my dad; ensured her colleagues were aware of her condition so they were able to help her".
Doron adds that they "even created a role that didn't exist so that there was something in-store she could do despite the fact her job title has never changed from 'picker'."
Before his mother finally left the store last week, she was given the task of cleaning tote boxes, something which "became the most important job in the world" to her.
Her condition has deteriorated to such an extent in the last year that she would arrive for work often confused.
Doron told MailOnline: "I think Sainsbury's normalised her life. They served as a reminder of her self-worth every day at a time when she was quite literally losing everything she once was.
"They were more than just an employer but supported her like a family. They made her struggle lighter and brighter."
A spokesperson for Sainsbury's said: "Doron's mum was a much loved colleague and an inspiration to all of us. We'd like to thank her for her years of service and wish her all the best for the future."
Doron revealed that he shared his mother's story on Twitter in the hope that it will raise awareness and persuade people to donate to fight the disease.
After reading the thread, many applauded Sainsbury's for the store's actions.
WHAT IS ALZHEIMER'S?
Alzheimer's disease is a progressive, degenerative disease of the brain, in which build-up of abnormal proteins causes nerve cells to die.
This disrupts the transmitters that carry messages, and causes the brain to shrink.
More than 5 million people suffer from the disease in the US, where it is the 6th leading cause of death.
WHAT HAPPENS?
As brain cells die, the functions they provide are lost.
That includes memory, orientation and the ability to think and reason.
The progress of the disease is slow and gradual.
On average, patients live five to seven years after diagnosis, but some may live for ten to 15 years.
EARLY SYMPTOMS:
Loss of short-term memory
Disorientation
Behavioral changes
Mood swings
Difficulties dealing with money or making a phone call
LATER SYMPTOMS:
Severe memory loss,
forgetting close family members,
familiar objects or places
Becoming anxious and frustrated over inability to make sense of the world, leading to aggressive behavior
Eventually lose ability to walk
May have problems eating
The majority will eventually need 24-hour care
Source: Alzheimer's Association
