According to the Russian Interior Ministry, Nemtsov was killed at 11:40 p.m. Moscow time on Friday (20:40 GMT), when several shots were fired at him from a car.
"Clearly, it is of paramount importance for our investigators to bring results on this case as soon as possible. There is no need to interfere, we must be patient," Peskov told the Dozhd television.
“The killing is heinous, and as the president said earlier, it has all the signs of a contract killing,” he said.
Peskov stressed the importance of finding the organizers and perpetrators of the crime.
Nemtsov was killed one day ahead of the Vesna (“Spring”) opposition rally planned to be held in Moscow on March 1.
Late on Friday, Putin said that the murder has all the signs of a contract murder and is extremely provocative.