Jansen, who earned $512,000 last year, was offered $3.5 million by the club. Ellis, who earned $2 million last year, was offered $3 million by the club.
The parties can continue negotiating until a February hearing. If no agreement is reached before the date of the hearing, an arbitration panel will select one figure or the other as the player's 2014 salary.
Since the inception of salary arbitration 38 years ago, the Dodgers are 14-6 in cases decided by a hearing and 6-1 in their past seven cases, dating to 1991. That includes the most recent wins over Joe Beimel in 2007 and Eric Gagne in 2004.
The last player to win a hearing against the Dodgers was Terry Adams in 2001. The club's first arbitration case was in 1975, when Ron Cey was awarded a salary of $56,000 instead of the club's submission of $47,000.
Ken Gurnick is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.