Meanwhile, the Russian Federation 24 state television channel played what it said was a call with suspect Mr. Petrov, who said he had "so far no comment, maybe later, next week, I think".
"I hope that they will show up and tell everything themselves. It will be better for everyone", said Putin, responding to a question about the case.
'There is nothing special there, nothing criminal, I assure you. We'll see in the near future, ' he added.
Following the poisoning, it was indicated that the Central Intelligence Agency would offer to settle the pair into a new life with new identities in the U.S., to protect them from any further assassination attempts.
One of them appeared to promise an interview to a Russian state news outlet next week, but it was unclear whether he is the man wanted by British authorities.
British police released a batch of photos of the the men it identified as Alexander Petrov and Ruslan Boshirov - names that investigators said were likely aliases used for the operation.
Speaking at a panel of an economic conference in Russia's Far East Putin insisted they do not work for the military.
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United Kingdom prosecutors said they had "sufficient evidence" to charge the pair, but did not formally demand their extradition, as Russian Federation does not extradite its citizens.
Prime Minister Theresa May said intelligence showed the poisonings were state-sponsored by Russian Federation.
Russian Federation has repeatedly denied any involvement in the incidents.
Kremlin spokesman Dmitry Peskov said the president has not communicated with the men themselves since they were accused of poisoning the Skripals.
The Russian president said they are "civilians" with no links to the government. "Let's wait for that moment", Peskov told reporters.
Skripal - a former colonel in Russian military intelligence who betrayed dozens of agents to Britain's MI6 foreign intelligence service - and his daughter were found slumped unconscious on a bench in the English city of Salisbury in March. The Brits have leveled charges against them, while not having much in the way of expectations that they'll ever get their hands on them. The affair worsened Russian relations with the West, already under strain over Ukraine, Syria and other issues.
The Skripals survived the poisoning but a local man, Charlie Rowley, picked up a fake perfume bottle containing Novichok weeks later.