Antibiotic ointment, such as Neosporin or Polysporin, is usually not necessary for the majority of minor cuts. It also won’t help a wound heal faster.
However, it can help prevent infection and may be particularly useful for those who anticipate not being able to keep their wound from touching lots of dirt and grime throughout the day.
Never squeeze ointment directly onto the cut. You don’t want to contaminate the container. Instead, put the ointment on a cotton swab. You can also use another clean, disposable surface like a tongue depressor or a small piece of clean gauze.