Here are some English words and phrases with a similar meaning:
A LAST MINUTE RUSH
A rush is a quick race either on foot or in your car when you have not got time.
ex. Sorry, I cannot stop and talk to you I am in a rush (in a hurry). A last minute rush is that last (hopefully) run into the city to buy the few things you forgot.
RACE AGAINST TIME
Someone must do or finish something very quickly because they don’t have enough time to finish it. We seem to be constantly in a race against time.
ex. Michael had a deadline to submit his project at the latest of midnight on the 20th December. As always he did not start the project until the last minute and therefore was in a race against time to get it completed and submitted by the time agreed.
UP AGAINST THE CLOCK
People like to give us tasks to complete in a timescale that can be very challenging.
ex. My French test had to be completed in 2 hours. I had a lot to do. When I looked at my watch I had only 20 mins remaining. I was really up against the clock and I doubted that I would got all the questions answered in time.