The song "Don't Give Up On Me" by Joe Cocker is about a person who is acknowledging their mistakes and shortcomings in a relationship. The lyrics express the fear of not meeting the expectations of their partner and the worry of losing their love. The singer pleads for their partner to not give up on them, promising to make amends and give their all to the relationship. The song talks about the importance of second chances and the belief that tomorrow can bring a better outcome. It emphasizes the willingness to change and grow, despite the past mistakes. The singer asks for patience and understanding, assuring that they will do everything in their power to make things right. Overall, "Don't Give Up On Me" is a heartfelt plea for forgiveness and a commitment to improving oneself for the sake of love. It conveys the message that even in difficult times or when the odds seem against them, the singer is determined to hold on and fight for the relationship.