Conway Jensen, DDS
You need to find what is wrong with that tooth. It will not go away, or it will go away temporarily, then come back again. Please check that tooth.
It might go away if you take antibiotic and anti-inflammatory. However, medication will just remove the symptoms (swollen and pain) but it doesn't remove the cause. Therefore, even though the swelling has subsided after taking medication, it can come back. My advice is go visit your dentist and have a proper consultation and treatment for the abscess.
Dr. Chun-I Lee
To answer your question, no, it is not going away on its own. The abscess is a sign of infection within your tooth which is expanding to the soft tissue around it. You definitely need treatment, which includes root canal treatment and taking antibiotics. You need to see a dentist as soon as possible.
Have a great day.
Maryam Haeri, DDS