Åkesson, whose party's aversion to immigration in Sweden is well-known, made the comments during Swedish Radio's Saturday's Interview program.
"In the situation we're in now, it might be reasonable to, for example, reconsider permanent residency for people who are obviously no longer in need of protection. Then, if it's legally possible, I don't know, it must be investigated. But what I do think is that if you have received a permanent residency permit for false or the wrong reasons, then it should be reconsidered," he said.
Åkesson cited someone lying about their identity as a possible reason for revoking a residency permit. When pressed for more details, such as how far back in time a granted permit could be subject to removal, Åkesson said:
"I have not considered that but in that case the same applies as in society in general that if you have been given a benefit on false grounds it should be possible to review," he said.
Åkesson was also asked about whether the Sweden Democrats could continue to call themselves as the only opposition party in regards to Sweden's immigration policy since other parties started taking harder lines on asylum cases and border controls.
"In terms of immigration policy, there has been a great consensus among the other parties, but it is clear that it has been broken up now," he said, though adding that it was too early to draw any "far-reaching conclusions" from the policy shifts.