The winning goal was an attractive two-pass counterattack. Southampton's Stuart Armstrong was blocked from distance after a corner, and West Ham's Issa Diop set Michail Antonio free. He in turn chipped through for Anderson, who raced on and finished in style for a goal of high class.
West Ham manager Manuel Pellegrini will have been delighted to leave St. Mary's Stadium with all three points, especially given his injury-hit squad was so threadbare he could fill only six of the seven substitute berths.
Ralph Hasenhuttl tasted defeat for the first time as Southampton manager, his manful Saints unable to string together three league wins.
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