If I have a chlamydia infection what other STI tests should I obtain? September 23, 2020 17:52 Updated If you are diagnosed with a chlamydia infection, you should be tested for HIV, gonorrhea, and syphilis. Related articles Can I change my refill frequency? Can chlamydia infections be cured? I was treated for gonorrhea. When can I have sex again? Do you accept insurance? What happens if I don’t get treated?