Paramedics rushed to the White House today -- the TV version -- when actress Jackée Harry took a nasty spill on the set ... TMZ has learned.

Sources on set of the sitcom "The First Family" tell us Jackée was preparing to shoot a scene with a magician when she slipped and fell.

After the fall ... Jackée -- who plays the First Lady's sister-in-law -- had some back pain and went back to her trailer to get off her feet.

We're told producers called paramedics, as a precaution, but when they checked out the actress they found everything was in one piece.

The magician was able to avoid injury, of course.