"Yeah, that's accurate," the Pro Bowl edge rusher said on SiriusXM NFL Radio. "I am most definitely going to be here next year."
Five days earlier, Barrett said he was "50-50" on signing the tender, which would pay him $15.8 million for the 2020 season but offer no security beyond that.
Barrett is coming off a breakthrough campaign in which he had a league-high 19.5 sacks while playing on a one-year contract for $4 million. He totaled 14 sacks over the previous four seasons with the Denver Broncos.
"It is a little frustrating because I did do everything I could do and I tried to make it as easy as possible ... but I guess that I didn't do as much as I needed to do or as much as I thought I needed to do," he said of his desire for a long-term deal. "I don't mind having my back against the wall but I do love security a lot more."