We study the mass spectrum of mesons at high temperature in SU(2) gauge theory with two flavors of Dirac fundamental fermions. Numerical simulations are carried out on anisotropic lattices using Wilson fermions, with lattice parameters tuned so that Euclidean symmetry is restored at low energy. We determine the pseudo-critical temperature T_c using renormalized Polyakov loops. We calculate temporal and spatial meson correlation functions across T_c, and observe a clear sign of parity doublings above T_c in both vector and scalar channels. The degeneracy between parity partners in the spectrum indicates that the enhanced SU(4)×U(1)_A global symmetry of the model is restored at high temperature.