- School: Sport school of olimpic reserve-6 (Hrodna)
- First coach: Bruzgo Aliaksandr
- Previous clubs: Njoman Hrodna
Aliaksandr Sulima is a graduate of the Hrodna football. In the winter of 2009 Sulima signed with Minsk "Dinamo".
Aliaksandr did not always get a stable game practice in the starting lineup, but worked diligently and waited for his chance. The most successful season Dinamo goalkeeper spent in 2012 -, when in 28 league games 16 times kept goal intact. By the end of the season the goalkeeper was voted by fans as the best team player.