A native of Split, Croatia, from the central Veli Varoš quarter, Stipica passed Hajduk Split's academy, gaining his first senior appearances on loan at Hajduk's third-tier feeder team at the time, GOŠK Kaštel Gomilica, at the age of 17. He made his Prva HNL debut a few weeks before his 19th birthday, in a 5-2 away win against NK Croatia Sesvete on 5 May 2010.[4] With the likes of Danijel Subašić, Vjekoslav Tomić, Goran Blažević, and Lovre Kalinić in front of him, however, he spent the following few seasons either as third-choice goalkeeper or on loan in various second- and third-tier teams. He got more playing time in the 2013–14 season, after first-choice keeper Lovre Kalinić got injured, but was injured in turn, missing the season's end. Stipica started the 2014–15 season as first-choice keeper, but conceded his place to the recovered Kalinić after some time. He injured his right knee in October 2014,[5] missing out on the rest of the season, which prompted the signing of Marko Ranilović at mid-season. Stipica signed with Bulgarian club CSKA Sofia in June 2018, where he saw limited action, being the second choice goalkeeper to Vytautas Černiauskas, and left the team in May 2019, after the end of the season.[6]