I heard somewhere that Stalin offered Kaliningrad oblast to Lithuanians but they rejected the offer. Also, not well known fact but for very, very short time there were Polish military control over city itself in 1944 or 1945, but I don't remember details.
Stalin 'offered' Kaliningrad to the head of the Lithuanian SSR. How he managed to decline the 'friendly fraternal socialist offer' without a bullet in the back of the head is beyond me. The Lithuanians decided that it would too much of a expensive hassle to kick all the ethnic Germans out and resettle the area with Lithuanians and having to repair the war damage. Maybe the Lithuanians replied that Lithuania was so grateful for being 'liberated' by the Russians, that the Russians could have the Kalinigrad as a gift.