Rumors last week that Red Bull's Vettel and Ferrari's Fernando Alonso might sensationally swap seats for 2015 were roundly denied by all sides.
But Ecclestone, F1's 'supremo' who has a close bond to German Vettel, reignited the speculation in Singapore.
"Should he want to go, Sebastian Vettel would be the right man for Ferrari. He has all the right features.
"Although he has a long-term agreement with Red Bull," Ecclestone told Italy's La Gazzetta dello Sport.
The 83-year-old Briton said a high-profile driver change for crisis-struck Ferrari might be just what the Maranello team needs.
"A change is healthy in any environment," said Ecclestone.
"Should Ferrari find someone who has the same outlook as Fernando Alonso, they could make the change," he added.