The semi-final match between Croatia and England will be played at Moscow's Luzhniki Stadium on Thursday morning at 4:00am AEST.

"The prime minister will be joined by Sabor Speaker Gordan Jandrokovic, and along with fans they will set off for Moscow by a commercial airline. According to the protocol, they will watch the semi-final match with other officials. The prime minister and the speaker pay for their travel expenses themselves," the government said in a statement.

The government has also published on Twitter a photo of Plenkovic and Jandrokovic wearing their national team's shirts, surrounded by fans on board a plane.