The gamma-ray vortex burst in the nonlinear Thomson scattering when the laser wakefield accelerated electron bunch collides with an ultra-intense Laguerre–Gaussian laser that was reflected from the refocusing spiral plasma mirror. The orbit angular momentum of the scattering laser would be transferred to the gamma radiation through the scattering process. The 3-dimensional particle-in-cell simulations gave the electron dynamics in the scattering, which determines the characteristics of the vortical radiation. The radiation calculation results illustrated the burst of gamma-ray vortex and surprisingly revealed the radiation pattern distortion phenomenon due to the nonlinear effect. This scheme can not only simplify the experimental setup for the generation of twisted radiation but also boost the yield of vortical gamma photons. The peak brightness of the gamma-ray vortex was estimated to be 1 × 10²² photons/s/mm²/mrad²/0.1% BW at 1 MeV, which might pave the way for the researches on angular momentum-related nuclear physics.