Applying all at the same time?

So i have a 706 credit score and im getting ready to apply for an auto loan. I know both of my lenders have top rated for over 700 score, but im worried after the first hard credit pull the second lender will see a lower score, maybe even below 700. In this case what about if i did both of the credit applications at the same time? Would it have time to update? Has anyone tried this before?