The singer, who is currently on her 'Dance Again' world tour, is said to be considering signing up for a run of shows in the US city at the end of this year.
Lopez's representative Mark Young told Hollyscoop: ''It could very well be possible.''
Live Nation apparently approached Lopez to produce the show, although a venue is yet to be determined.
She recently said of her world tour: "It's pretty intense. We've been having a great time, the audiences have been amazing. It's been selling out everywhere we go."
Lopez's 'Dance Again' tour, which features Enrique Iglesias, is currently working its way through the US, before moving on to mainland Europe and the UK and finishing in Australia on December 18.
She is also planning to release a 3D concert film.
Watch the video for 'Dance Again' below: