I have already asked this question on MMA.SE and was suggested to re-post it here. Also, that's my first post here so please feel free to edit/suggest anything such as more relevant tags/groups.
Is it possible to use OpenWebPage from WebUnit in ParallelTable? For example such as in:
 
Needs["WebUnit`"]
InstallWebUnit[]
StartWebSession[];
pages = {"www.wolfram.com", ... }
ParallelTable[
  OpenWebPage[pages[[i]]];
  html = GetPageHtml[];
  , {i, Length@pages}
  ]
I can start multiple browsing windows by running several StartWebSession[] but then how to dedicate a single window to each core?