The weak turbulence theory of Langmuir waves in a one‐dimensional, one‐species plasma is discussed. Analytic calculations using the theory of two‐point correlations show that in the weak turbulence regime, &tgr;ac≪min(&tgr;tr,&ggr;−1k) (where &tgr;acis the field autocorrelation time and &tgr;tris the particle decorrelation time), the nonlinear enhancement of the mode growth rate &ggr;kbeyond the linear, Landau growth rate &ggr;kLis small, additive, and higher order in the weak turbulence expansion parameter. This result thus supports the validity of the quasilinear theory for Langmuir wave turbulence, and disagrees with the predictions of Adam, Laval, and Pesme [Phys. Rev. Lett.43, 1671 (1979)], which indicate a non‐negligible, multiplicative enhancement in the regime &tgr;ac≪&tgr;tr≪&ggr;−1k. Analysis shows that their result comes from the use of an invalid source term for the fluctuations.