Lawrence, who was Bill Shankly’s first-choice keeper during the 1960s, died at the age of 77.
Liverpool football club on Wednesday confirmed the passing away of the Scotsman.
Liverpool club statement read: “The thoughts of everybody at the club are with Tommy’s family and friends at this sad time.”
Also, Liverpool chief executive, Peter Moore was one of several high-profile football figures to pay tribute.
He tweeted: “A boyhood hero of mine. A great goalkeeper, a great member of the Liverpool family and a wonderful human being. He will be missed.”
Lawrence signed professionally for Liverpool in October 1957, a few months after his 17th birthday.
He only missed four league matches in six seasons as the Reds won the First Division Championship twice and claimed the FA Cup for the first time.
The goalkeeper made 390 appearances for the Anfield club before making the switch to Tranmere Rovers in 1971, where he stayed for three years.