Lavrinovič has also been a member of the men's Lithuanian national basketball team. Some of the tournaments he has played at with Lithuania's senior national team include: the EuroBasket 2003, the 2004 Summer Olympics, the EuroBasket 2005, the 2006 FIBA World Championship, the EuroBasket 2007, the 2008 Summer Olympics, the EuroBasket 2009, the EuroBasket 2011, the EuroBasket 2013, and the 2014 FIBA World Cup. He helped Lithuania win the gold medal at the EuroBasket 2003, the bronze medal at the EuroBasket 2007, and the silver medal at the EuroBasket 2013.