Career
He also represents the Slovenian national basketball team Standing at 1.96 m (6 ft 5 in), he plays as a small forward. Blažič started his professional career in 2007 with Triglav Kranj.
From 2009 to 2011 he played with Geoplin Slovan.
In July 2011, he signed a three-year deal with Union Olimpija. On June 18, 2013, Blažič signed a three-year deal with the Serbian team Crvena zvezda Belgrade.
On September 14, 2015, he parted ways with the club Day later, on September 15, 2015, he signed a three-year contract with the Spanish team Laboral Kutxa Baskonia.
He also represented Slovenia at the 2015 EuroBasket where they were eliminated by Latvia in eighth finals.