Gap within time between condition insurance: penalize for pre-existing conditions?

I lost my employee health insurance when my Cobra run out. There's supposed to be a time limit within which if you draw from health insurance after an old one lapse, pre-existing conditions are still covered. My county gov't. offers a free HMO, paid by the County, if you are redundant and meet income requirements. I fit. So, would that County insurance count as coverage if I got a investigational job with a current employee, so that it would be considered I had continual coverage?
Answers:
When going from one group policy to another, the time constrict is 63 days.

If you're going from a group policy to an individual policy, then there isn't any - it's not anything days.

Related Questions:
Ok so... Repubs want robustness insurance premiums to go and get greater and superior while coverage decrease, right?   What would evolve if my $260 per month go to common form supervision versus insurance companies?   Why do so abundant more employer not proposal condition insurance benefits close to until that time?   In times gone by, did employer use to reimburse 100% of an human resources condition insurance?   Health insurance for mentally handicapped?