Today his family accused civil servants of breaking confidentiality rules by contacting his employer.
Mr Tessema said: "They shouldn't have called his employers and told them about him.
"What's going to happen to the next person in this situation?"
Merseyside refugee support network co-ordinator Margaret McAdam added: "This is appalling. We want answers from the Home Office."
Mr Abebe had seemed calm when he heard the news his application had been turned down on July 4, his case worker Christopher McLeod told the inquest. He said he had not been worried about the Ethiopian, adding: "He did appear disappointed, but I would not use the word upset."
Mr McLeod said Mr Abebe had talked about returning to Ethiopia voluntarily.
At the time of his death, support workers described Mr Abebe as the first victim of a new fast-track system, under which new arrivals are assessed within 11 days.
Around 150 asylum seekers in Liverpool have now sent a petition to the Home Office, and around 50 took to the streets to demonstrate after his death at Liverpool's largest asylum accommodation centre, near Sefton Park.
Mr Rebello recorded a narrative verdict.
Home office guidelines
A HOME Office spokesman said: "Caseworkers are instructed in the Home Office's Asylum Policy Instruction (API) on Disclosure of Information in Asylum Cases 'not to disclose any information about an individual's asylum claim to the country of origin while the claim is under consideration, unless the claimant has given his explicit consent for the transfer of the data.
"To do so may be unlawful and may also jeopardise the safety of the claimant in the event that he returns to his country of origin or the safety of members of his family who have remained there.
"!I an application for asylum is unsuccessful it may be necessary to provide information about the identity of the applicant to the authorities in his/her own country in order to obtain travel documentation.
"However, the information disclosed would be limited to that which was necessary for re-documentation purposes and no reference would ever be made to the fact that an individual had claimed asylum in the UK."