Lavrinovič has also been a member of the senior Lithuanian national basketball team. With Lithuania's national team he has played at the EuroBasket 2005, the 2006 FIBA World Championship, the EuroBasket 2007, the 2008 Summer Olympics, the EuroBasket 2009, the EuroBasket 2013 and the 2014 FIBA World Cup. He helped Lithuania win the silver medal at the EuroBasket 2013 and the bronze medal at the EuroBasket 2007.