Harris, 27, was a sixth-round draft choice by Dallas in 2011 out of East Carolina. He had seven receptions for 116 yards in 2014.
Harris was the Cowboys' primary kickoff and punt returner for the past two seasons. In 2014, he returned 30 kickoffs for an average of 24.7 yards and 30 punts for an average of 9.2 yards.
As a team, the Giants averaged 23.3 yards per kick return and 7.7 yards per punt return.
- Dan Gartland