"Turkey will have all the chapters closed in two years time," Bozkir told Turkish news agency Anadolu.
The minister added that several EU member states are currently in worse economic conditions than Turkey, and hence "the EU does not have the luxury not to enroll Turkey."
Turkey first has to complete negotiations with Brussels on 35 policy chapters and undertake a number of reforms to meet European standards, in order to become a full member of the European Union. To date, 14 policy chapters have been opened, 17 are currently blocked and another four have not been discussed yet, according to the agency.
The minister added that Turkey was an important ally of the European Union in the fight against terrorism.
"There cannot be a European collective security system without Turkey," Bozkir was quoted as saying by Anadolu.
Turkey applied for EU membership back in April 1987. Negotiations on the country's accession began in October 2005, but were suspended in 2007 due to the position of Ankara on Cyprus and the opposition of several EU member states, including Germany and France.