The paper presents a mathematical modeling technology of coil drawing of pipes made of 12X18H10T steel in the DEFORM software package to predict the implementing possibility the technology of manufacturing long pipes in bunts for use in the cryogenic industry. The obtained pipe geometry is estimated based on the simulation results. It was found that considering all the components of the strain tensor have a significant impact on the pipe's mechanical properties, the value of the pipe ovalization in the process of winding the pipe on the drum was estimated.