as soon as = cuanto antes
Would you kindly let me know about the arrangement, as soon as you receive the confirmation.
Podría informarme de los acuerdos una vez recibido la confirmación.
Make sure that they pay the bill as soon as possible.
Preocúpese que la factura sea pagada cuanto antes.
As soon as it stops raining, I would like to go for a walk.
Cuando termine de llover me gustaría hacer un paseo.

En la lengua hablada muy a menudo se reduce el as soon as possible to asap (as soon as posible).