Only once since 1966, the days of Eusebio, have the Selecao qualified for the last eight of the global tournament.
Cristiano Ronaldo and Co will be the favourites to progress against the Swiss but became the latest team to suffer an upset when rotating their lineup and losing to South Korea in the final game of their group.
Switzerland only qualified for the knockouts after coming from behind to defeat Serbia on Friday night.
They are on an even longer wait for a World Cup quarter-final berth - their last appearance came in 1958.
Date, kick-off time and venue
Portugal vs Switzerland is scheduled for a 7pm GMT kick-off today, Tuesday December 6, 2022.
The match will take place at Lusail Iconic Stadium in Qatar.
Where to watch Portugal vs Switzerland
TV channel: In the UK, the match will be televised free-to-air and live on ITV1, with coverage beginning at 6.15pm.
Live stream: Fans can also catch the game live online via the ITVX app and ITV website.
Live blog: You can follow all the action via Standard Sport’s live blog.
FIFA World Cup 2022 Qatar | Best Images and Moments
Portugal vs Switzerland lineups and team news
Portugal XI: Costa, Dalot, Pepe, Dias, Guerreiro, William, Otavio, Silva, Fernandes, Felix, Ramos
Switzerland XI: Sommer, Fernandes, Schar, Akanji, Rodriguez, Freuler, Xhaka, Shaqiri, Sow, Vargas, Embolo.
Portugal vs Switzerland prediction
Switzerland shocked France at the Euros last year and are more than capable of punishing Portugal if they fail to turn up. This one might be going all the way.
A 1-1 draw, Portugal to win on penalties.
FIFA World Cup 2022 Fans
Head to head (h2h) history and results
These two teams last met at a major tournament in the 1938 World Cup, with Switzerland winning 2-1.
Portugal wins: 9
Switzerland wins: 11
Portugal vs Switzerland match odds
Portugal to qualify: 2/5
Match draw: 12/5
Switzerland to qualify: 15/8
Odds via Betfair (subject to change).