Charter a dolphin-watching cruise or a private tour that advertises dolphin-watching in Antigua. Most cruises and tours leave from Jervis Bay.
Speak to the cruise captain to determine if it would be possible to swim with the dolphins. Make sure that the cruise captain will allow you to jump overboard to attempt to swim amongst the dolphins. Your chances are much better if you have privately chartered the boat, but most captains in Antigua are accustomed to requests for dolphin watching and swimming.
Ask the captain to take you to where you might see the most dolphins. This is usually out into the deep Atlantic, where you can see hundreds swimming very quickly, but you can also see dolphins in Pelican Bay and near the mouth of Indian Creek. Discuss humane and legal procedures that don't use food or herding as techniques for increasing your chance of swimming with dolphins.
Find a group of dolphins, and after putting on the snorkels and goggles, enter the water. Unless they are curious, most dolphins will swim away quickly once you enter the water. Occasionally, however, there are enough dolphins that you will be able to swim among them. Allow them to approach you. If they appear playful, you should attempt to swim in formation with them. In order to attract their attention is it helpful to mimic their movements or to make low sounds. The more interesting you behave, the more interested in you they will be. Though swimming close to dolphins is rare, many Antiguans residents have done it.