The 26-year-old will be on a trial period with the Latvian club until July 31.
Alisauskas has been playing the past two season with the Russian Higher League (VHL) club Kargandy Sariarka (Kazakhstan).
In 47 VHL games last season, Alisauskas scored four goals and made 15 assists.
Alisauskas has previously played for Latvian ice hockey club Liepajas Metalurgs in the past, and has also played for Lithuania's senior national team.
Dinamo will begin preparing for the 2017/2018 Kontinental Ice Hockey League season in July.