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Positive-muon ($\mu^+$) Knight shifts have been measured in the paramagneticstates of Pr$_{1-x}$Nd$_x$Os$_4$Sb$_{12}$ alloys, where $x =$ 0, 0.25, 0.45,0.50, 0.55, 0.75, and 1.00. In Pr-substituted NdOs$_4$Sb$_{12}$ ($x \le$ 0.75),but not in NdOs$_4$Sb$_{12}$, Clogston-Jaccarino plots of $\mu^+$ Knightshift~$K$ versus magnetic susceptibility~$\chi$ exhibit an anomalous saturationof $K(\chi)$ at $\sim-$0.5% for large susceptibilities (low temperatures),indicating a reduction of the coupling strength between $\mu^+$ spins and $4f$paramagnetism for temperatures $\lesssim$ 15~K. We speculate that itinerantPr$^{3+}$ quadrupolar excitations, invoked to mediate the superconductingCooper-pair interaction, might modify the $\mu^+$-$4f$ ion indirect spin-spininteraction.

Muon spin rotation and relaxation in Pr$_{1-x}$Nd$_x$Os$_4$Sb$_{12}$: Paramagnetic states