Hawksworth is recovering slowly from two operations -- the initial one in January to clean out his right elbow and another three weeks later to address a staph infection.
With back-to-back surgeries, Hawksworth has been unable to begin a throwing program and will need roughly a six-week Spring Training once he can resume throwing.
Wright, making an Opening Day roster for the seventh consecutive season as a non-roster invitee, will earn a base salary of $900,000, plus a potential $500,000 in incentives starting at 40 appearances and maxing out at 65 appearances. He made 60 appearances for Seattle last year with a 3.16 ERA.
The Dodgers guaranteed Wright's contract having informed left-hander John Grabow, another non-roster invitee, that he would not make the club. He exercised an out clause Monday and was granted his release.
Manager Don Mattingly said Wright could serve as a swingman in the same way that Jeff Weaver did for the Dodgers in 2009-10, capable of pitching short relief, multiple innings and even spot starting.
Ken Gurnick is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.