If Kick-‘em-Jenny erupts will a tsunami (giant sea wave) be generated?

Currently, the volcano is most dangerous for ships and boats since the gases released by Kick ‘em Jenny can lower the density of the water causing them to sink even if it is not erupting. For this reason there is a 2 km exclusion zone around the summit of the Kick ‘em Jenny. Although likely to be minor, tsunamis triggered by underwater eruptions are a potential hazard for neighbouring islands.