The United States booked their place in the quarter-finals of the Paris Olympic Games with a match to spare after a commanding 4-1 victory over Germany on Sunday.

Sophia Smith netted a first-half double on either side of Mallory Swanson's goal before Lynn Williams wrapped up the points late on.

Giulia Gwinn had given Germany hope by equalising, but the USA were too strong as they ruthlessly booked a place in the knockout rounds.

The USA made a quick start, with Smith darting in front of her marker to slot a close-range tap-in past Ann-Katrin Berger, only for Gwinn to cancel it out 11 minutes later with a pinpoint shot into the bottom-left corner.

Emma Hayes' side soon asserted their dominance though – Swanson reacted quickest to latch onto Smith's saved shot, firing in from an acute angle on the left.

Smith then got her second just before the break, helped by a huge deflection, as her effort looped over Berger before bouncing over the line off the inside of the far post.

Jule Brand struck the woodwork just after the hour mark before further misery was piled on the Germans as captain Alexandra Popp was forced off late in the second half with a knee injury that they will be hoping is not too serious. 

Williams rounded things off by making a quick impact off the bench, finishing off a lightning-quick counter-attack just under four minutes after coming on. 

Data Debrief: Smith and Swanson on song

The USA got the job done in the first half, ensuring Hayes became just the second coach to win each of their first two major tournament matches in charge, after Anson Dorrance in the 1991 World Cup.

Swanson added to her double against Zambia with another goal in Marseille and is just the second player in USA's history to net three times in the group stage of a single Olympics, after Abby Wambach in 2012.

Before today, the winner of each of the five previous major tournament meetings between the USA and Germany has gone on to win the entire tournament, and Hayes will be hoping that is a good sign of what is to come.