I agree with makka. I would pick the same two. I also agree that 'time pressure' is not quite natural, but if we omit 'time', the pressure may be of another kind (the boss, for instance). There must be another phrase for 'time pressure' that I have met but cannot remember.
I agree, though I thought the other versions may be acceptable at times. And I also feel 'time pressure' is awkward; I was hoping there was another expression either I'm not aware of or that I have forgotten.