I have two handheld VNAs--a Seesii NanoVNA-H (3 inch screen) and a Zeenko LiteVNA 64 (4 inch screen). Using a SA with VNA set to Start 1 MHz and Stop 1 MHz, the VNA-H S11 output was about -10 dBm; the LiteVNA was about -5 dBm. Note both outputs are a square wave.
I rigged up a very simple test fixture using a diode, filter cap and DMM set to volts and calibrated it from -10 dBm to +10 dBm. If you're not sure what your VNA's S11 output level you could measure it using this set up.
I've made a file in Photos and put the file in it, labeled "VNA S11 Output Level and Test Setup and Results".
/g/loopantennas/album?id=29989573,
Steve AA7U