Jennifer Lopez was pure class -- all while side-eyeing "Today" show's Craig Melvin for sneaking a Ben Affleck divorce question as she plugged her new movie, "Kiss of the Spider Woman."

Peep the clip from Monday -- Craig casually mentions how her 2024 divorce was finalized while filming the musical ... forcing J Lo into a flurry of awkward chuckles as she turned to someone off-camera to say, "There you go! Look at this guy!" Gallery Launch Gallery Getty

Jennifer’s grin said it all -- she saw this moment coming a mile away, and she was ready with her response as Craig tried to justify dropping Ben’s name ... pointing out he's the movie's executive producer.

The actress gave props to her ex ... saying without him this film wouldn’t exist, adding the movie was all abo

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