What is the upper limit of atmospheric pressure in hurricanes, i.e. what is the highest pressure in the eye of a Category I hurricane?

The criterion for classifying a tropical cyclone as a hurricane is not the pressure value at its centre but the wind speed, which should exceed 32 m/s near the centre of the vortex, in which case the tropical cyclone is declared a category one hurricane. One and the other - pressure, or rather pressure gradient, and wind - have an undoubted relationship, but practical considerations suggest that wind speed should be used to define the category of hurricane along with the impact it has.