Simpson died after a training accident in San Francisco when the Artemis Racing's AC72 catamaran capsized in San Francisco Bay with the 36-year-old trapped underneath.
Ainslie was friends with Simpson and dedicated his record-breaking victory in the Round the Island race on Saturday to him.
Ainslie, who will compete for Oracle racing in the America's Cup, told BBC Sport: "No one ever wants to see anything like that happen ever again, so we'll do everything in our power to avoid that.
"Of course we need to look at some of the rules to try to increase the safety of those boats, the AC72 class, and we're going through that process right now.
"There have already been decisions on some of the safety aspects to try to avoid another capsize like that that led to the tragedy with Andrew, so I'm sure they will be very effective.''