Tsimikas 24-year-old has joined the Premier League champions for about £11.7m on a five-year contract and is expected to provide competition for Andy Robertson.
The very speedy skilled winger joins the Merseyside diverse team to add even more diversity.
“I’m very happy, I’m very proud to be here,” Tsimikas said.
“It’s an honour to be here and I will give my best. For me, [it’s] the biggest club in the world.”