The safety signed a four-year extension with the AFC East side yesterday, keeping him with the Dolphins until the end of the 2017 NFL season.
The 25-year-old told the team's website: "It feels good man, I can put this behind me and go out and just do what I do now. They said they would do it and it just proves how much these guys trust and believe in me as a player, but more importantly as a person, on and off the field.
"It feels even better, knowing that I had to work for it. When you have to work for whatever it is, I think it's more rewarding. So it feels good knowing that I went out, proved myself and I earned it, it wasn't just given to me.
"The sky is the limit. I think I went out last year and demonstrated that I'm one of the elite safeties in this game. I just want to be consistent, continue to keep doing what I'm doing and be a leader on this team."
Jones made 94 tackles, one sack and four interceptions for the Dolphins last season.