Hello Nils,
I am afraid that below the minimum pressure range mentioned on the datasheet, the pressure sensor will not reflect any change at the output.
The output signal cannot go to negative values.
Please let me know if you need a further recommendation.
I hope this information will be useful for you.
If I misunderstood your question, feel free to let me know. I will be glad to help.
Have a great day.
David Diaz.