  We present observations of CO 1-0 and CO 2-1 emission from the z = 4.12 QSO
PSS 2322+1944 using the Very Large Array. The CO emission is extended on a
spatial scale of 2''. This extension could reflect the double nature of the QSO
as seen in the optical, or could be diffuse emission with a (redshift
corrected) mean brightness temperature of 2.8 K for the CO 2-1 line. We find
the CO excitation conditions are lower than in two other IR-luminous z > 4
QSOs, suggesting the presence of a significant contribution from cooler, lower
density molecular gas (n(H_2) = 5x10^3 /cm^3), although such a conclusion is
complicated by the possibility of differential gravitational magnification.
