This will not happen unless Ukraine surrenders. I still think today people forget that Ukraine has the largest army in Europe outside of Russia, and is now heavily equipped with NATO weaponry at the infantry level (Easily over 20,000 NATO anti tank weapons in Ukraine now). Soldier wise, they are one to one with the Russian mobilized forces and are inflicting heavier losses so far. And since Russia has shown a complete failure of combined arms tactics, their superior technology has been not effective as most analysts believed.
What Russia does have going for it is massive amounts of artillery which they can use to shell the defenders and destroy the city sector by sector, but that is hurting civilians more than the defenders in the few cities being shelled so far. However Kyiv is so large and is not encircled, so a full shelling siege is not possible. Instead Russia might try to use military mass to try and take the city center quickly, maybe to try capture the Government, but I'm not sure what they plan to do after that...