Matthews, 26, began last year's offseason program with the Dolphins wanting to be traded or released after Miami added first-round pick DeVante Parker and veteran receivers Kenny Stills and Greg Jennings. However, he won the starting job in training camp and set new career highs for receptions (43), yards (662) and touchdowns (four) in a contract year.
Matthews said after the regular-season finale in January that fit and an opportunity to earn a starting role were important in his next stop.
"Just where I fit in with the offense, where I fit in with the organization," Matthews said. "That's the biggest thing really. Wherever it is, I'm going to go compete and try to get on the field right away."
ESPN Dolphins reporter James Walker contributed to this report.