Turina made his league debut for Lech Poznań on 31 October 2008 in a 3–1 win at home to Odra Wodzisław Śląski. He finished the season with a total of 12 appearances in the league and six in the UEFA Cup, where the club were eliminated by Udinese in the round of 32. He played in the final of the Polish Cup, which the club won that season. On 11 September 2009, Turina terminated his contract with Lech Poznań and started training with Dinamo Zagreb later that month.