Using e(+)e(-) collision datasets corresponding to a total integrated luminosity of 21.7 fb(-1) collected with the BESIII detector at the BEPCII collider at center-of-mass energies ranging from 4.009 GeV to 4.951 GeV, the energy-dependent cross sections of e(+)e-->-Lambda<overline>+. are measured for the first time. By fitting these energy-dependent cross sections, we search for the excited psi states psi(4160) and psi(4415), and the vector charmonium-like states psi(4230), psi(4360), and psi(4660). No evidence for these is observed and the upper limits on the branching fractions of these states decaying into -Lambda<overline>+.. are set at the 90% confidence level.