But the process of Croatia becoming a full EU member is unlikely to be completed before a final solution to the border dispute is found, Slovenia's premier underlined.
"If political parties represented in the house [the Slovenian parliament], or the civil society, or everybody else, would have the feeling that things are not going in the right direction, I'm very pessimistic that at the end of the day the house will vote in favour of Croatia's full EU membership if the [border] problem would not be solved," Mr Pahor said.
"The best option would be to solve the problem [before]," he added.
In addition, Croatia still has open border issues with neighbouring Bosnia and Herzegovina, Montenegro and Serbia – which also aspire to become EU members in the long term – "and it will be very difficult to find a solution" to these disputes if the one with Ljubljana is not settled first, the Slovenian premier noted.