as soon as possible(If you do something as soon as possible, you do it as quickly as you can: We need the repairs done as soon as possible. CALDAlexander Demidov)
on short order("We don't know whether President Putin has made the decision to invade. We do know that he is putting in place the capacity to do so on short order should he so decide," Blinken told reporters in Europe a day before meeting Russian Foreign Minister Sergei Lavrov. "We must prepare for all contingencies."washingtonpost.com4uzhoj)
fast-track(применительно к муниципальным властям, о проекте: University of British Columbia professor Patrick Condon has often argued that merely rezoning for density and fast-tracking market-rate developments won’t fix affordability crises in cities like Toronto and Vancouver.ART Vancouver)
please reply at your earliest possible convenience("at your earliest convenience" which is a more formal way to say "as soon as possible" (ASAP). For example: Please reply at your earliest convenience. To make the above sentence more urgent, you can add the word "possible": Please reply at your earliest possible convenience. Alexander Demidov)