Moussa Sissoko pulled up sharply shortly before the break and although he returned to the pitch he was unable to continue, being replaced by Erik Lamela.
Moments later United were ahead.
– Rashford strike –
Lingard cut out a careless cross-field ball from Kieran Trippier and nudged the ball to Pogba, who had time to look up and measure a raking cross-field pass to Rashford, sprinting down the right.
Rashford still had plenty to do but kept his nerve to fire right-footed past Lloris and into the far corner — Lloris got fingertips to the ball but was unable to keep it out.
Tottenham came out of the blocks smartly after the restart and Kane looked certain to level from close range but De Gea saved brilliantly with his left foot before pulling off a fine save to deny an Alli headed effort.
At the other end, Ashley Young sent over an inviting cross that Pogba headed straight at Lloris and the Spurs goalkeeper had to be alert to tip over another Pogba effort that came at the end of a long spell of United possession.
Spurs, roared on by a passionate home crowd, were building up a head of steam and Alli had another a golden chance to equalise but De Gea was again equal to the task.
The Spaniard produced yet another stunning save to keep out Toby Alderweireld before flying to his right to cling on to a Kane free-kick.
Spurs had further chances in a frenetic ending but could find no way past the inspired De Gea.
Kane took a knock in the closing seconds of the match, with Pochettino saying “we hope it is not a big issue”.