The Cowboys, in the hunt for a running back to pair with Darren McFadden, will host Alfred Morris for a free agent visit Monday, according to a source.
In four seasons in Washington, Morris started all 64 games, rushing for 4,713 yards and 29 touchdowns on 1,078 attempts. He had career lows in 2015 with 202 carries for 751 yards and one touchdown, losing carries to rookie Matt Jones with Chris Thompson and Pierre Thomas also getting playing time.
McFadden, signed last year to replace DeMarco Murray, had his second career 1,000-yard season with 1,089 yards and three touchdowns on 239 carries. But he turns 29 this summer and had a history of injuries during his seven seasons in Oakland.
The Cowboys re-signed third-down back Lance Dunbar on Thursday, getting him back for a one-year, $1.75 million deal. But they lost free agent Robert Turbin, who backed up McFadden the last seven games of 2015, to the Colts.