With the soonest

as soon as any; among the earliest; too soon.
- Holland.

See also: Soon

Webster's Revised Unabridged Dictionary, published 1913 by G. & C. Merriam Co.
References in periodicals archive ?
When numerous orders are processed to be picked, they are automatically sorted into batches and the orders with the soonest cut off times are automatically presented first to help assure that deadlines are met.