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We discuss the impact of different solar neutrino data on thespin-flavor-precession (SFP) mechanism of neutrino conversion. We find that,although detailed solar rates and spectra allow the SFP solution as asub-leading effect, the recent KamLAND constraint on the solar antineutrinoflux places stronger constraints to this mechanism. Moreover, we show that forthe case of random magnetic fields inside the Sun, one obtains a more stringentconstraint on the neutrino magnetic moment down to the level of \mu_\nu \lsimfew \times 10^{-12}\mu_B, similar to bounds obtained from star cooling.Comment: 4 pages, 3 figures. Final version to appear in Phys. Rev. Let

Constraining the Neutrino Magnetic Moment with Antineutrinos from the Sun