Rio mayor Eduardo Paes says the Olympic park is almost ready but there are concerns about delays to some projects.
A BBC correspondent says at present there is little excitement in Brazil where the president faces impeachment.
The proceedings against Dilma Rousseff mean there is uncertainty as to who will be in power during the Games.
Unemployment has also risen to about 10% as the economy has contracted for the second year in a row.
Rights group Amnesty has also criticised the number of killings by police in the city`s shantytowns, known as favelas, where residents were "living in terror".
Officers have killed 11 people in the favelas so far this month, Amnesty said, and were behind 307 such deaths last year.
Nevertheless, the head of Rio`s organising committee Carlos Nuzman said the city was "ready to make history" as the flame was handed over to the Brazilians.
The torch will arrive on 3 May in the capital Brasilia after a short stopover in Switzerland.
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