The osb and in fact any wood panels must be allowed to dry completely depending on how wet the panels are this could be a few days before any roofing material is applied to avoid trapping moisture under the roof material that could cause edge swell and buckling.
Roof boards damp.
Look for potential entry points like roof vents valleys loose nails and mark the area with chalk so you can examine the exterior of your roof after it quits raining.
This leads to the formation of damp spots on the surface of the roof.
Mold growth on attic roof sheathing is a common issue in cool climates such as the pacific northwest.
Such cookers often allow for the quick rise of moist air leaving behind the cold air.
This occurs when the temperature of the sheathing drops below the dew point creating a thin layer of moisture on the substrate.
Follow the water uphill till the wood is no longer wet.
It is never a good idea to install a roof over wet plywood or any type of roof sheathing.
Look for damp spots on the underside of your roof.
On structural concrete and possibly wood planks or plywood moisture drips may not be observed.
When this warm air reaches the spaces in the roofs it gets in contact with cold air and condenses.
Another leading cause of condensation in roofs is the use of wood burner cookers.
In the vast majority of cases the mold growth is caused by condensation.
Also look for a thin stream of water flowing down one of the rafters.