The Russian government has accused the UK of “provoking” Ukraine into attacking Russian territory.
Russia’s defence ministry said it was ready to hit “decision-making centres” in Kyiv should such attacks occur.
The presence of Western advisers at such centres might not affect its decision to retaliate, it added.
It comes after a UK defence minister said it was “not necessarily a problem” for Ukraine to use UK-supplied arms against military targets in Russia.
James Heappey said Ukrainian military strikes to disrupt supply lines were a “legitimate” part of war, and described Russian claims of Nato being in conflict with Russia as “nonsense”.
Russia has claimed Ukrainian forces have attacked targets within its territory, including an oil depot in Belgorod, but Ukraine has not confirmed any strikes.
Western countries have donated hundreds of millions of pounds of military aid to Ukraine since Russia launched its invasion back in February, and Nato and European Union officials have been meeting in Germany to discuss further military assistance.
The UK government has announced it will give Ukrainian forces a small number of anti-aircraft vehicles.
In a statement quoted by the Interfax news agency, the Russian defence ministry said: “We would like to stress that the direct provoking by London of the Kyiv regime into such activities [attacking Russian territory], should there be an attempt to realise them, will immediately lead to our proportional response.”
The ministry also said Russian armed forces were ready to “deliver retaliatory strikes using long-range high-accuracy weaponry” against “centres taking relevant decisions” in the Ukrainian capital Kyiv.
“The advisers from among the subjects of one of the Western countries that are located in Ukrainian decision-making centres in Kyiv will not necessarily be a problem when Russia decides to take retaliatory action,” the ministry said.
Foreign minister Sergei Lavrov also accused Nato of conducting a proxy war, and said Western weapons being delivered to Ukraine would be fair targets.
Mr Lavrov claimed the West was “pouring oil on the fire” by providing Ukraine with firepower, and repeated warnings that the conflict could lead to a third world war.