According to Ken Rosenthal of FOX Sports, Kennedy is the most likely to be dealt.
The Kansas City Royals have interest, but Rosenthal reports that San Diego seeks offense in return, and the American League champs might not have the assets to make a move.
Kennedy, who will turn 30 next month, has one year remaining on his contract with San Diego and is scheduled to earn $10 million in the final year of his arbitration eligibility in 2015.
Kennedy was traded to San Diego in June 2013, compiling a 4-2 record with a 4.24 ERA in 10 starts.
Last season, Kennedy went 13-13 with a 3.63 ERA, 1.289 WHIP in 33 starts and 201 innings, striking out a career-high 207 batters.