A new and distinct cultivar of hibiscus plant named ‘DUP-SWTP’, characterized by glossy, dark green leaves, a strongly upright habit and extremely compact growth. The flower is characterized by a medium-sized, glossy red eye zone extending roughly a third of the way to the petal edge, sharply margined against a bright orange-yellow body zone which fully extends to the petal edge. The body zone is suffused with a bright orange, the suffusion being at a maximum at approximately half way to the petal edge, and at a minimum just outside the eye zone and at the petal edge.