"We have some viable candidates for sure," Black said Saturday before the Padres faced the Giants in the second game of a three-game series at Petco Park.
On Sunday, the Padres -- and the rest of baseball -- will discover who is headed to the All-Star Game as the rosters are announced.
San Diego closer Huston Street, who converted his first 23 save opportunities and had a 0.87 ERA this season before blowing a save in Saturday's 5-3 loss to the Giants, appears to have the best chance, but Black said there are others who merit consideration.
"Joaquin Benoit has [had a good season] and you can make a case for [outfielder Seth Smith] a little bit, too," Black said.
Benoit, in his first season with the team, has a 1.23 ERA in 36 games as the eighth-inning specialist and hasn't allowed a run since May 11, a stretch of 19 scoreless innings.
Smith, who agreed to a two-year contract extension worth $13 million Wednesday, is hitting .278 with nine home runs and 26 RBIs.
Corey Brock is a reporter for MLB.com. Keep track of @FollowThePadres on Twitter. Will Laws is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.