However, the prerequisite of a negative test produced within 72 hours of departure from the UK and France will continue on the Commodore Clipper in order to safeguard lifeline freight supplies.
The changes come into effect on 31 March.
Condor's operations director Elwyn Dop said the encouraging news of on-island restrictions being eased across the islands provided the company with the confidence to remove the current requirement for tests for travel outbound from Guernsey and Jersey.
'Throughout the pandemic, the safety of passengers, freight clients, crew and staff has been of paramount importance, so this decision can be reversed if deemed necessary,' he said.
'We therefore remain in regular dialogue with the relevant authorities in our four jurisdictions on the border and travel restrictions.'
Strict protocols that were developed 12 months ago to reduce risk of transmitting the virus continue on board, as do heightened safety and hygiene procedures.
Mr Dop added: 'Our change in policy has no bearing on the need for testing and other arrival requirements by Public Health authorities and passengers are advised to check the requirements for all countries to which they are travelling.'