Question re input Sensitivity and 110 db speakers

Can an integrated amp, 60 WPC Class A, input sensitivity at rated output 125 mV, be used with 110 db sensitive speakers in terms of: Will the volume control be so sensitive that it will not be possible to adjust the sound levels to low volumes, or will it be "all or nothing" in that there will be no minor volume adjustments because of the high sensitivity of the speakers?
Anybody know the answer?
Thanks!