Assuming you dithered at the 16th bit, i would not assume the dither to be easily audible on regular gear.
Generating full-scale sweep 16bits, no dither:
sox -V -D -r 44100 -b 16 -c 1 -n orig.wav synth 5 sine 300-3300
Reducing gain by 0.01dB, no dither added (the -D option):
sox -V -D orig.wav atten-nodither.wav gain -0.01
Reducing gain by 0.01dB, dither added (sox default):
sox -V orig.wav atten-dither.wav gain -0.01
The mixdown (diff.wav):
sox -V -D -m atten-dither.wav -v -1 atten-nodither.wav diff.wav
The mixdown stats:
sox diff.wav -n stats
DC offset -0.000000
Min level -0.000031
Max level 0.000031
Pk lev dB -90.31
RMS lev dB -95.04
RMS Pk dB -94.78
RMS Tr dB -95.35
Crest factor 1.72
Flat factor 2.89
Pk count 74.3k
Bit-depth 1/16
Num samples 220k
Length s 5.000
Scale max 1.000000
Window s 0.050
sox diff.wav -n stat
Samples read: 220500
Length (seconds): 5.000000
Scaled by: 2147483647.0
Maximum amplitude: 0.000031
Minimum amplitude: -0.000031
Midline amplitude: -0.000000
Mean norm: 0.000010
Mean amplitude: -0.000000
RMS amplitude: 0.000018
Maximum delta: 0.000061
Minimum delta: 0.000000
Mean delta: 0.000017
RMS delta: 0.000025
Rough frequency: 9934
Volume adjustment: 32768.000
I cannot hear -90dB on my gear at standard listening volume setup.