No way, Putin leaves Odessa alone and allows Ukraine entrance to the see to fuck up Russia ships/transport. They ignored them because Ukraine was considered a brother nation. Now, Putin wouldn't want the situation to repeat itself again. Him or his successor will push for Odessa, Mikolaev is on the way on the supply route, theyl'll take them as well. Then, they'll try to minimize the border they have to patrol meaning flattening the dent Ukrainian territory does into Russia. The more flat that dent is the easier it is to defend against future aggressions. Rivers are natural barriers.
That's not really how Russian tactics work though. That's a western view of strategy. The Russian view is retreat and attrition. They willingly cede territory to an invader, and use grinding layers of fortifications and artillery on firm, winterized bulkheads, to absolutely cripple invading forces.
The idea that they're going to push all the way to Kiev is absurd. And they don't want the Bolshevik population centers. All that would cause is problems. They seek the ethnic Russian majorities. They're still seeking to provide Russians defense against the Asov Nazis who're trying to butcher them.
Putin doesn't have the time or the successor to try to revive the USSR, and he's shown no inclination. But it's very clear based on the State of Ukraine that Kiev cannot control Crimea or the Donbas, and some of the surrounding region should likewise fall under Russian Protectorate status. The people are Russian. The Bolsheviks kill the Russians.