Rudiger's first half header ensured Chelsea pressed domestic the advantage they had earned with a 2-0 win inside the first leg remaining week.
Thomas Tuchel's team additionally had VAR respectable Mike Dean on their facet as Tottenham were given two penalties via Andre Marriner, simplest for evaluations to overturn each, whilst Harry Kane noticed a aim disallowed for offside.
Chelsea will play Liverpool or Arsenal within the very last at Wembley on February twenty seventh.
Liverpool host the coronavirus-not on time first leg of their semi-final in opposition to the Gunners on Thursday.
It is Chelsea's first League Cup very last appearance when you consider that 2019 as they purpose to win the competition for the first time given that 2015.
Tuchel has now taken Chelsea to a few finals due to the fact that taking on from Frank Lampard in January 2020.
They misplaced to Leicester inside the FA Cup very last earlier than beating Manchester City to win the Champions League.
Securing a Wembley berth became the ideal coaching for Chelsea's essential date with Premier League leaders City on Saturday.
Tottenham have no longer won a prime trophy due to the fact lifting the League Cup in 2008 and their alternatives for finishing that drought this season are dwindling.
Antonio Conte had conceded it might be tough to overturn the deficit towards a group of Chelsea's pleasant.