Clowney told ESPN's Josina Anderson he's planning to sign "before the season starts."
"No, I have not narrowed down a final team," he said. "I'm still open."
Clowney spent the 2019 campaign with the Seattle Seahawks after being acquired in an August trade with the Houston Texans. He recorded 31 total tackles, four forced fumbles, three sacks and an interception he returned for a touchdown across 13 appearances.
The 27-year-old South Carolina native received a strong 87.3 grade from Pro Football Focus for 2019, and he's probably the top player available on the open market. It's a group that includes cornerback Logan Ryan and guard Larry Warford.
He ranked tied for 27th in the NFL with 29 sacks from 2015 through 2018, per Pro Football Reference.
In May, Clowney told Mark Berman of KRIV he's "ready" to go after core-muscle surgery and wouldn't rule out a reunion with the Seahawks:
Mark Berman @MarkBermanFox26
Free agent DE Jadeveon Clowney (@clownejd) working at @PlexAthlete in Houston: “Whoever I sign with is gonna get the best version of me..I know what I got to do to get where I need to get.” (Hasn’t ruled out the @Seahawks): “I love Seattle..I love everybody on the coaching staff” https://t.co/Al0dbbKQcG
Tennessee Titans general manager Jon Robinson said in mid-June the team continued to "monitor" the situation.
"I know he wants to play," Robinson told reporters. "I think we would be a pretty good fit for him. There was some mutual interest there when we started the discussions, but I would say that really hasn't grown legs since we spoke last."
Mary Kay Cabot of Cleveland.com reported the Cleveland Browns also remain interested.
It's unclear how close to the regular season Clowney is willing to wait before signing a deal. Week 1 is scheduled to kick off Sept. 10.