If I recall my geography correctly, the only overland invasion route available to the USSR is heavily mountainous; ill-suited to the mechanised way of war the USSR nominally wages. We do also have to remember that this is Turkey that we're talking about. The country and people that, but two decades earlier, fought the combined victors of WWI, after four years of losing WW1, and won. Whether or not Turkey was capable of willing of repeating that feat is, in some ways, immaterial. Capable of not, the USSR would have assume that Turkey was, in fact, capable.
I can only imagine that, if the USSR did invade, the Entente would be more than happy to offer and arrange credit, sell Turkey a variety of war booty and scrap metal prices. More than happy to, I imagine, additionally facilitate the sale or transfer of Italian Military Production to Ankara.* (Perhaps in fits of pique and irony, the Entente might even arrange the transfer of Greek arms to Turkey.)
*(I'm fairly sure this is the TL where France has bought a bunch of SM.79 for Indochina. A juicy 'carrot' for Italy that serves to divert Italian War Production away from the Italian Armed Forces.)
Even if the USSR were able to militarily defeat the Turkish Government, it had to be assumed that this would be insufficient to defeat the Turkish people. And, of course, the spectre of the Winter War still hangs over the Kremlin. Military power is a major source of prestige for the Soviet Government, and a vital pillar of its geopolitical legitimacy. A second potential military embarrassment would not, I imagine, be looked upon fondly; not least by the current military establishment, keenly aware of their predecessors' fates as they are.
At best, I think, the USSR would be contemplating the seizure of a slippery and poisoned chalice. At worst, it would end up suffering military defeat, the attendant embarrassing loss of prestige (both domestically and internationally,) whilst having brought about a geopolitically disastrous rapprochement between Turkey and The Entente/'The West' more generally.
I decline to draw any further parallels to current events, and only say that I can't see how the Kremlin ends up thinking it'd be a good idea.