Abstract: Galaxy kinematics modeling is currently the computational bottleneck for a joint gravitational lensing+kinematics modeling procedure. We present as a proof of concept the Stellar Kinematics Neural Network (SKiNN), which emulates kinematics calculations for the context of gravitational lens modeling. After a one-time upfront training cost, SKiNN creates velocity dispersion images which are accurate to $\lesssim1\%$ within the region of interest at a speed $\mathcal{O}(10^2-10^3)$ times faster than existing kinematics modeling methods. This speedup makes it feasible to jointly model lensing data with spatially resolved kinematic data, which corrects for the largest source of uncertainty in the determination of the Hubble constant.