Hundreds of workers are taking part in their second 24-hour strike from 2200 BST on Tuesday over the transfer of NHS Logistics to German delivery firm DHL.
Unison is expected to propose a motion at the Manchester conference calling for a review of NHS privatisation.
The government said disruption from last week's walkout was minimal.
A Department of Health spokesman said there had been no reports of any major problems, and hospitals and GPs had contingency plans in place - many can also order their own supplies, rather than go through NHS Logistics.
And he added the transfer, which takes place at the beginning of October, would "help save