Here's the thing Harry Potter is always in the hospital wing whether because he gets hurt during Quidditch or for his stupid adventures. Still Severus Snape knows he needs to help Madame Pomfrey especially with helping with the potions he needs.
"You're bleeding," Severus said with his voice having an edge to it.
However, while Harry looks at these eyes, he sees that there is softness to his eyes. Almost like Snape cares about him. After that, Professor Snape reaches for a rag on the counter to help Harry. He's dabbing the rag at Harry's wound with surprising softness and gentleness. Harry never had this happen to him before.
The silence fills the air. And it weighs on Harry, but he feels something that is unspoken by the way Snape cleans his cut.