Common was promoting his role in upcoming family drama "LUV," while Drake was performing at one of the many late-night parties.
The two have traded insults recently via their raps, but Common said he didn't want to say anything else about Drake not in rhyme form.
"I feel like I said everything I really needed to say on the record. I just looked at it as like 'Hey, it's just a hip-hop battle,'" he explained in an interview this week.
"The time to talk is on record as far as I'm concerned. If we in the ring, then we just handle our business in the ring."
Common had the most recent entry into the battle, by adding his verse to a Rick Ross song and naming Drake directly -- a move that the Chicago native said he felt obligated to make.
"So that's just the way that I feel like you've got to do it. I don't want to like leave anything -I don't want anybody else to think I'm talking about them. I want you to know, 'Hey this is who I'm talking to.'"
Common, known more lately for his acting than his rapping, started the battle with a song called "Sweet" on his new album, "The Dreamer/The Believer."
"He (Drake) felt offended by it. And the song is really discussing how hip-hop has a softer side," said Common.
"And I made it clear that I'm not talking about anyone specifically. For me it was no different than when Jay-Z addressed with 'DOA,' he was talking about Auto-Tune. I was talking about, 'Hey, you know hip-hop is starting to become more just saturated with softer songs,'" he said. "And I don't see anything the matter actually with the love songs. I do love songs. So I don't see anything the matter with it, but when the music becomes saturated with it, I mean, I speak up. I love hip-hop music."