Did not split the case yet. I don't know if i should open the shift cover only so i'm still trying to understand what's going on.
After riding the bike for a few miles, i've noticed that i have this issue rather when it's warm. When cold, it shifts to first gear, this is the case for instance when i cold start it on the morning. No issue during the first 5 minutes approx. Afterwards, it jumps directly from 1st to 2nd and sometimes, the specific sound you hear when 1st gear is engaged, is heard when shifting toward 2nd gear. Any thoughts ?