"We have at a dialogue with the organizers about the security arrangements," police spokesman Ulf Göranzon tolld news agency TT.
The two writers are in the Swedish capital to participate in a discussion hosted by the Swedish Academy on 'Freedom of speech and lawless violence'.
Roberto Saviano was forced into hiding after his book, Gomorrah, sparked death threats from the Neapolitan Camorra. In his home country, the writer has been provided with armed body guards for round the clock protection.
The Italian author is also planning to remain in the city for the Swedish premiere on Tuesday of a film adaptation of the controversial book at the Stockholm Film Festival.
Salman Rushdie was issued with a fatwah, or death sentence, in 1989 by the Ayatollah Khomeini of Iran following the publication of The Satanic Verses.
"Wherever they move in public, we'll be there," said Göranzon of the two writers.
He also confirmed the involvement of the Swedish security police, Säpo, in the security operation.
"There is an ongoing exchange of experiences, with Säpo among others," said Göranzon.