  We derive a condition for converging a common evolutionary track for
k-essence (a scalar field dark energy with non-canonical kinetic terms). For
the Lagrangian density V(phi)W(X) with X=dot{phi}^2/2, we find tracker
solutions with w_{phi} < w_B exist if Gamma equivalent V''V/(V')^2 > 3/2. Here
w_{phi}(w_B) is the equation-of-state of the scalar field (background
radiation/matter).
  Our condition may be useful for examining the existence of the attractor-like
behavior in cosmology with k-essence.
