Rope burn

I had my baby on me in our carrier. We were getting ready to take the dog for a walk, like we do every morning. Somehow the cord(the leash is retractable) got near baby's arm and before I realized what was happening, it rubbed across his arm.

At first I thought it was just a little red on top of his arm, but it got him right in the bend of his arm by elbow! 😔 He didn't cry, but because that skin is thin, it basically caused a rope burn.

With the positioning of it, it seems like it's going to be hard to heal since it's constantly moving and breaking the skin open and not getting much air. I feel horrible. Any suggestions? I put Neosporin on It, but I know it needs to dry out.