Can I pause my process for a few months without issue?

I'm in the middle of processing a skull that was buried for a couple years and recently retrieved. I removed as much dirt as I could. It is now soaking in water and dish soap in an attempt to degrease. I'm not sure how much I will need to degrease considering how long it was underground.

My intention had been to remove it from the soapy water, rinse it, dry it out fully, and then use a hydrogen peroxide bath for a few hours to whiten. But for a variety of reasons, I will need to pause my work with the skull in a couple days and won't be able to pick it back up for a few months.

Will it harm the skull or the overall process to have it sitting out in the air (indoors) for a few months? Can I just resume the degreasing process in a few months? Is there a particular way I should store it to minimize damage or risk?