The hospital had previously said "only preliminary discussions" had been held, but has since clarified the pilot would not be supported until certain criteria had been met.
Deputy chief executive of Southend University Hospital NHS Foundation Trust, Tom Abell, said: "While we welcome and encourage new ideas and innovation, there is no intention and there never has been for the hospital to support this pilot at this time.
"We will never compromise the safety and quality of care for patients and we will not support this pilot until the necessary safeguarding and quality arrangements are in place and there has been full engagement and discussion with our local communities on the proposal."
Earlier, CareRooms said it would recruit "hosts" whose properties had spare rooms or annexes with a private bathroom to create "secure care spaces for patients who are waiting to be discharged".
The hosts - who would earn up to a maximum of £1,000 per month - would not need any previous care experience but would need to go through security checks to be approved for the scheme.