A new cultivar of Dasiphora fruticosa plant named ‘Jefman’ that is characterized by its dense and rounded plant habit reaching 60 cm in height and width when mature, its flowers that open orange-red in color and slowly fade to orange and then yellow with good color rentention when grwon in full sun, its flowers that are single with 5 petals per flower, and its flower petals that overlap to create a fully round flower with no petal gaps.