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$^{77}$Se-NMR spectrum and frequency shift measurements in the paramagneticmetal (PM) and antiferromagnetic insulating (AFI) phases are reported for asmall single crystal of the organic conductor $\lambda-$(BETS)$_{2}$FeCl$_{4}$as a function of temperature ($T$) and field alignment for an applied magneticfield $B_{0}$ = 9 T. The results show that in the low $T$ limit, where thelocalized Fe$^{3+}$ spins ($S_{d}$ = 5/2) are almost fully polarized, theconduction electrons (Se $\pi$-electrons, spin $s_{\pi}$ = 1/2) in the BETSmolecules experience an exchange field ($\bf{B}$$_{\pi d}$) from the Fe$^{3+}$spins with a value of $-$ 32.7 $\pm$ 1.5 T at 5 K and 9 T aligned opposite to$\bf{B}$$_{0}$. This large negative value of $\bf{B}$$_{\pi d}$ is consistentwith that predicted by the resistivity measurements and supports theJaccarino-Peter internal field-compensation mechanism being responsible for theorigin of field-induced superconductivity.

$^{77}$Se NMR measurements of the $\pi -d$ exchange field in the organic conductor $\lambda-$(BETS)$_{2}$FeCl$_{4}$