Python: process flow avoiding nested IF statements

I have a process (class) that I split into several steps (methods). each step can only be invoked if the previous one was successful. I created a method run() that runs the process by checking each step before invoking the next one:

def run(self):
    status = False
    if step_1():
        if step_2():
            if step_3():
                etc... [several nested IFs]
                status = True
            else:
                self.logger.error('Error in step 3')
        else:
            self.logger.error('Error in step 2')
    else:
        self.logger.error('Error in step 1')
    return status

Is there a more elegant way (a design pattern?) to avoid these nested IF statements?

Thanks a lot,