Drake says Chris Brown made him "the enemy".
The rapper got into an altercation with Chris at a New York nightclub in June last year.
Drake and Chris are said to have fallen out over popstar Rihanna, who both men have dated in the past.
Despite Chris and Rihanna calling time on their relationship, Drake says his feud with Chris remains ongoing.
"I don't want my name to be synonymous with that guy's name. I really don't. I wish we could sit down, just like you and me are right now, and talk it out man-to-man. But that's not going to happen. I'm not confrontational, but if someone challenges, I'm not going to back down," Drake revealed to the US edition of GQ magazine.
"It's embarrassing, the amount of media coverage. Two rappers fighting over the woman. He's not even a rapper, but still, it's the last way you want your name out there. It distracts from the music. But he's made me the enemy, and that's the way it's gonna stay, I guess. If I think about it too much, I feel it wrapping around my foot, like I get a feeling it could end really badly. Like, it gets really dark."
The 26-year-old has made millions of dollars by rapping about his rawest feelings and emotions. Drake was touched by advice he received from actor Will Smith, which made him realise the true definition of love.
"I had lunch the other day with someone I extremely look up to. Okay - I had lunch with Will Smith, and listening to him talk, it made me think I don't know what love is. He said something profound. He said love is when you become one and you need that person. It's not about wanting anymore, you need that person," he revealed.
"Hearing that, I don't know if I've ever felt that way. I've held women in very high regard almost to the point where I felt like I needed them for a very long time, but I don't know if I comprehend it yet, and I'm okay with that. I’ve made a lot of music about love being the only thing I’m missing. I think this is the first album I’ve made saying, 'I’m okay.' I’m enjoying it right now. Maybe this is my time to grind it out, make a run for it and add some memories with my boys.”