According to Jeff Legwold of ESPN.com, the Browns have already asked the Broncos for permission to interview offensive coordinator Adam Gase for their head coaching vacancy.
Just filed story …Browns have formally asked permission to interview #Broncos  OC Adam Gase. He can interview this week.
— Jeff Legwold (@Jeff_Legwold) December 30, 2013 
Gase can interview this week since the Broncos have a bye, though there’s no indication that anything has been scheduled.
For more on this story visit: Darin Gantt, NBC Sports Pro Football Talk 
Update (2:20pm): Adam Schefter of ESPN reports that they’ve also requested an interview with Seahawks defensive coordinator Dan Quinn.
Browns requested permission to interview Seahawks DC Dan Quinn for HC job, per source. Quinn can interview Jan. 5.
— Adam Schefter (@AdamSchefter) December 30, 2013