The Norwegian foreign ministry said she was expected to visit Norway in June.
A spokesman from Aung San Suu Kyi’s party also told the BBC that she would visit the UK – but this has yet not been confirmed by London.
The Nobel laureate spent years under house arrest while Burma was ruled by a military junta.
She has previously refused to leave Burma for fear that she would not be allowed to return.
The exact dates of her travel – which would be her first outside Burma since 1988 – have not been confirmed.
British Prime Minister David Cameron invited Aung San Suu Kyi to visit when he met her last week in Burma, where a new civilian government is undertaking a process of reform that has been welcomed by the international community.
Reports from Burma say Aung San Suu Kyi is yet to receive a passport she has requested ahead of the planned trips.
Aung San Suu Kyi’s willingness to travel abroad shows her growing confidence in the reform process and Burma’s President Thein Sein, the BBC’s Jonah Fisher in Thailand reports.
The choice of Norway as the first country to visit is a natural one, as Ms Suu Kyi still has to formally accept the Nobel Peace Prize she was awarded back in 1991, our correspondent adds.