Seems like if that voltage decays according to a known functional curve,
like exponential decay, all you have to do is timeout fromn some start V,
like your 600 mV as a starting point, and then some time, any time,
measure V again and use the relationship to interprolate to the value
you want at the low V point.
If decay is not periodic then simply start a timer, and when it gets close to 1 mS,
take a reading. Certainly a S/H where you go to hold at timeout is fine, of an
A/D fast enough to meet your goals, like a SAR, A Cypress PSOC could handle
this quite easlily.
You will have to do an end to end error budget to see if it meets your accuracy/
precision requirements, taking into account T, Vref T & V, clock timing, offsets,
etc....
Regards, Dana.