Chlamydia

I recently tested positive for chlamydia after an ex was unfaithful to me and I am now in a new relationship. We have been together for a year meaning we have both had the disease for about nine months. I got treated first and we were going to remain abstinent for a month until we had both been treated but we slipped up and had sex with a condom before he had been treated..
It was just once but will I have been reinfected and need treatment again?