During a radio interview with Power 105.1 FM's The Breakfast Club, the 25-year-old rapper dismissed claims made by Rose on the same radio show the day prior.
"No, I'm not dating Kylie," he said. "I wanna be clear to everybody, I didn't leave my family to be with Kylie. That's ridiculous."
Tyga went on to say that he and ex fiancee Blac Chyna separated "almost close to a year now" because things weren't going right in their relationship.
"We decided to split to raise an emotionally stable kid," he said of the couple's 2-year-old son. "Now we have a great relationship."
On Monday, Rose said the rapper should be "ashamed of himself" for leaving Chyna for "a 16-year-old who just turned 17." Her comments sparked a Twitter feud with Jenner's older sister Khloe Kardashian, who asked the model to "please stop talking about" her and her sisters on interviews because "none of us talk about you."
Rumors about Tyga's alleged relationship with Jenner began last year, but both parties have adamantly denied they are a couple despite the considerable amount of time they spend together.