Due to the creep behaviour of plastics, stress is heavily dependent on strain rate, so a value for Poisson's ratio is generally not specified. If you look at a typical plastic data sheet, you should see that some parameters are actually specified at a defined strain rate (e.g elongation before break is usually at 50mm/s - sometimes other rates are given.
As Pat suggested, talk to the material supplier and they should be able to help.
Cheers
Harry