Lichtsteiner underwent his medical in Turin on Monday.
"Conte convinced me," stated the right-back. "I wanted Juventus, but the telephone call from the Coach was important.
"Conte and I see football in the same way."
The defender's move hasn't been made official yet, but it is understood that the 27-year-old has signed a deal until June 2015.
Lichtsteiner had a 12m release fee inserted into his Lazio contract, but it is understood that they agreed to sell for around 10m.