Prepare the pineapples: Peel the pineapples and remove the core. Finely chop the pineapple flesh into small pieces. You can also use a food processor to achieve a finer texture.
Zest and juice the lime: Grate the zest of the lime and set it aside. Squeeze out the juice from the lime and set it aside as well.
Cook the pineapple: In a large, heavy-bottomed pot, combine the chopped pineapples, lime zest, lime juice and water. Cook over medium heat, stirring occasionally, until the pineapple pices release their juice and start to soften, about 10 minutes.
Add the sugar: Stir in the jam sugar until well combined. Continue to cook the mixture, stirring frequently, for another 30-35 minutes until the jam thickens and reaches the desired consistency. You can test the consistency by placing a small amount of the jam on a chilled plate and tilting it. If it runs slowly or wrinkles when touched, it's ready.
Remove from heat and cool: Once the jam has thickened, remove the pot from the heat and let it cool for a few minutes. If you prefer a less chunky jam, simply use an immersion blender to smooth out the texture.
Transfer to jars: Spoon the warm pineapple jam into clean, dry jars. Make sure to leave a bit of headspace at the top to allow for expansion. Let the jam cool completely before sealing the jars with lids.
Store and enjoy: Once the jars are sealed, store them in the refrigerator. Pineapple jam should stay fresh for several weeks.