The lyrics of Fats Domino's song "I'm Walkin'" are about a man who is lonely and hoping for the return of his lover. The song speaks to the feelings of loneliness and the longing for someone to be with. The protagonist of the song is walking and talking about his failed relationship with his lover. He is hoping that his lover will come back to him, and he is waiting for her to return.

The lyrics depict a man who is determined to be there for his lover no matter what. In the first verse, he states that he is hoping for his lover's company and that he is lonely without her. He talks about the possibility of the well running dry, and he is ready to run by her side, even if it means dying for her. In the second verse, the protagonist poses the question of what his lover will do when the well runs dry. He also talks about her possibly crying when he says bye-bye, but he assures her that he will always be there for her.

The song speaks to the concept of dedication and loyalty in love. The protagonist is willing to wait for his lover to come back to him, even when he is lonely. The lyrics also emphasize the idea of the man being the protector and the one who will always be there for his lover no matter what. The song has a positive and optimistic feel to it, as the protagonist believes that his lover will eventually come back to him.