I'd prefer to wait, even if it's for a few minutes. The Flight Management System will have been programmed with the original departure, the navigation aids and Mode Control Panel (autopilot/flight director interface) will have been set up and the original departure will have been briefed/discussed by the crew.
Yes, we can change all of the above pretty quickly if needs be but the potential for missing something or making a mistake is higher with time pressure.
Happy to be flexible - sticking with the original plan would nornally be my usual preference though.