Kontos threw well in his lone Giants appearance after being recalled Tuesday, blanking Pittsburgh for two innings on Wednesday.
But the Giants had no intention of altering the bullpen that entered Saturday with a 1.75 ERA, the best in the Majors. Moreover, the less-established members of the relief corps, right-handers Juan Gutierrez and Jean Machi, have no Minor League options remaining.
Cain, recovered from the cut on the tip of his right index finger that forced him to miss two starts, faced the Dodgers on Saturday.
Chris Haft is a reporter for MLB.com. Read his blog, Haft-Baked Ideas, and follow him on Twitter at @sfgiantsbeat. This story was not subject to the approval of Major League Baseball or its clubs.