New England took the 6-foot-2 1-2-inch, 203-pound Dobson on Friday night with the 59th pick overall. In each of his last three seasons, Dobson had at least 44 catches and 668 yards receiving. He had 12 touchdown catches in 2011.
His 24 career touchdown receptions tie former Patriot Troy Brown for fourth most in Marshall history.
Earlier in the second round, the Patriots took outside linebacker Jamie Collins of Southern Mississippi with the 52nd overall pick. The Patriots traded their first-round pick to the Minnesota Vikings on Thursday night.
They have two picks in the third round, one in the fourth and three in the seventh.