Trump has been mulling potential supplies of the long-range missiles to Kyiv via European allies since his meeting with Putin in Alaska in August failed to produce a peace deal.
He said Sunday that he might warn Putin about the possible deliveries if Russia does not halt its offensive.
But Kremlin spokesman Dmitry Peskov told reporters: "There are no clear agreements on a phone conversation yet.
"There are many opportunities for promptly organising such a conversation," if it was needed, he added.
Russia has repeatedly said it would see supplying the weapon as a significant escalation.
The missiles have a range of 2,500 kilometres (1,500 miles), putting much of western Russia, including the capital Moscow, within striking distance.
They are also technically capable of carrying nuclear warheads and Moscow said it would treat any launches of the missile as if they were loaded with a nuclear weapon.
Former president Dmitry Medvedev, now a deputy chair of Russia's security council, said Monday that if the United States opted to supply the weapons, it could backfire on Trump directly.
"The delivery of these missiles could end badly for everyone. And above all, for Trump himself," he said on Telegram.
In August, Trump and Medvedev, known for his hawkish and provocative anti-Western comments, clashed after the US leader upped his pressure on Moscow to halt its offensive on Ukraine.
Trump responded by redeploying military submarines and warning that Medvedev's statements could "lead to unintended consequences."
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