 In total, 30 players have recorded 300 or more saves in their career.Only eight relievers – Dennis Eckersley, Fingers, Goose Gossage, Hoffman, Rivera, Smith, Bruce Sutter, and Wilhelm – have been inducted into the Baseball Hall of Fame; all but Wilhelm also have at least 300 saves.Craig Kimbrel, Fernando Rodney, and Jansen are the only active players with more than 300 saves, and Kimbrel is the active leader with 346.