There is a relationship between proportional hazards models and Poisson regression models which is sometimes used to fit approximate proportional hazards models in software for Poisson regression. The usual reason for doing this is that calculation is much quicker.
There is a connection between proportional hazards models and Poisson regression models, which is occasionally employed to approximate proportional hazards models in software designed for Poisson regression. The primary reason for doing so is that computations are significantly faster.