In this suffering David is looking for the only address from where he can expect help. This verse fits with Psalm 141:1 where David cries to God for help and salvation. His eyes are on the Lord and his faith is in the Lord. He prays that the Lord will prevent his life from being poured out like water. Apparently, he is threatened with death.
8 C'est vers toi, Eternel, Seigneur! que se tournent mes yeux,C'est auprès de toi que je cherche un refuge:N'abandonne pas mon âme!