We study how well KamLAND, the first terrestrial neutrino experiment capable of addressing the solar neutrino problem, will perform in ascertaining whether or not the large mixing angle MSW solution (with 10 −5 < ∼ ∆m 2 21 < ∼ 10 −4 eV 2 and oscillation amplitude sin 2 2 θ 12 > 0.3) is correct. We find that in a year of operation KamLAND will provide unequivocal evidence for or against this solution. Furthermore, its sensitivity to the three-neutrino oscillation parameters in this region is sufficiently acute as to determine ∆m 2 21 to approximately ±10% (for sin 2 2 θ 12 > 0.7) and to fix sin 2 2 θ 12 to within ±0.1 (at the 2σ level) with three years of accumulated data, independent of the value of θ 13 .