Brother Michael Greste said the family are in the final stages of appointing a legal firm to undertake the lodging of the appeal, but could not reveal the name.
The Al Jazeera journalist and his Canadian-Egyptian colleague Mohamed Fahmy were sentenced to seven years in prison for falsifying news and aiding the now blacklisted Muslim Brotherhood of former president Mohamed Morsi.
Another colleague, Baher Mohamed, who is Egyptian, was jailed for 10 years.
All three remain in Cairo's Tora prison.
Michael Greste said there are no concerns or indications that a failed appeal would result in an extended sentence, which currently stands at seven years.
“We have to have faith in the Egyptian system,” he said.
“We have to exhaust all legal channels prior to taking other strategies.”
He said finance has been arranged through lawyers and Al Jazeera, allowing his family to use funds raised through the campaign to keep “Peter in the spotlight in Egypt”.
“The Egyptian president made it fairly clear that he wouldn’t be stepping in or taking any action until the legal process had been exhausted,” he said.
“… I think it's fairly clear that this is a very political case.”
Mr Greste said his brother was coping “reasonably well”, but the anxiety of the verdict was also taking its toll on Michael and his brother.
“Our partners are now single,” he said.
“All our time is divided between [employment] and having to work on this campaign. All our energy is dedicated towards trying to secure Peter’s release.”
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