The Dodgers’ past seven victories have been by one run, the longest such streak in baseball since Cleveland did the same from July 22-August 5, 1998. If the Dodgers’ next victory is by one run, it will tie the franchise record of eight last matched by the 1961 Dodgers from May 17-May 29.
Since 1900, the major-league record for consecutive victories by one run was set by the 1942 Phillies, from May 10 to June 3. Philadelphia went 42-109 that season.
Thanks to the Elias Sports Bureau for researching this for me.