Even if the Soviets would allow it, which WarPact countries had divergent enough foreign policies from the USSR that they would need their own nuclear weapons? I can't see them pursuing an independent deterrent even if they were more than nominally independent, because I really don't see anyone important having a reason to go after, say, Poland or Czechoslovakia specifically.
You might be able to make this work with India, however. It was somewhat Soviet-aligned after the sixties (and gradually becoming more so thanks to the US seemingly doing everything in its power to piss it off) but never nearly enough to be assured a place under the Soviet nuclear umbrella; they'd have every reason to want their own nukes even if they were a somewhat stronger Soviet ally, and because their interests don't really conflict and often coincide the USSR would have every reason to let them and help them. (They actually did receive some help from the USSR in fast reactor development and a couple of other fields even OTL, and were trying their best to cozy up to Moscow a bit and get more, so really all you need is for them to be a little more of a Soviet satellite and less able to get blueprints or other aid from the West.)
You could probably contrive a reason to push them further into the Soviet camp while at the same time increasing their demand for an independent nuclear deterrent without too much difficulty. Maybe the missile crisis goes more in Khruschev's favor, and/or is settled more quickly, and he's able to send more to India during their war with China. Maybe the US intervenes against India during the 1971 war with Pakistan like it was threatening to do.