Despite some late defensive concerns, Man United earned a win that was inspired by three of the squad's lesser lights.
Tottenham's Ben Davies appeared to foul Dusan Tadic just before half-time.
Manager says: "It is fantastic because we manage, in the same week, to go to the quarterfinals of the Europa League which is an important target."
English Premier League: Dele Alli (33') Tottenham 2-0 Southampton
Everton fell short of their best on Saturday but a tactical readjustment, a debatable red card and three late goals eventually broke Hull resistance.
English Premier League: Toby Alderweireld (24') Tottenham 1-0 Southampton