In recent weeks, reports have suggested that the broadcaster intended on showing the fixture at the Emirates Stadium on Christmas Eve with a 4pm kickoff.
However, on Thursday, Sky announced that Liverpool would instead play Arsenal on the night of Friday, December 22, and Klopp has revealed that the Merseyside giants intend to help supporters travel back from the game.
The 50-year-old told reporters: "I don't know when it happened last time that somebody could take something but didn't, because of common sense. Sky thank you! It's a very, very good decision especially for fans.
"We will do everything we can as a club to help the fans get back from London."
The decision also means that the 1995 fixture between Leeds United and Manchester United will remain as the last top-flight match to be televised on Christmas Eve.