Assuming your GPSDO gives you access to NMEA strings, you could look at the "$GxGSA – DOP and Active Satellites" strings.
The various flavors of DOP (dilution of precision) will give you a more accurate predictor of accuracy than just satellite count, but DOP will also be a function of the satellite geometry and some other factors as well.
From a ublox eval kit:
$GNGSA,A,3,78,70,69,84,83,68,85,79,77,,,,1.13,0.61,0.95*19
PDOP = 1.13
HDOP = 0.61
VDOP = 0.95