It seems that different sources give a bit different information sources on this.
Directly on the NHL website there is article Lundqvist makes 50 saves in second straight start, Rangers top Flames (Wayback Machine)
Lundqvist, who turned 36 on Friday, is the first goaltender in NHL history to win consecutive games with 50 or more saves since the stat was first tracked in 1955-56.
However, you can find several sources mentioning Gump Worsley - basically you can simply search for the names of these two goaltenders.
Several of them cite this tweet (Wayback Machine) from ESPNStatsInfo:
According to @EliasSports, Henrik Lundqvist is the first NHL goalie to make 50+ saves in two straight personal appearances since Gump Worsley of the Rangers did it on Jan. 27 and 30, 1963.
I was not sure where to find some reliable statistics that could confirm Worsley's concecutive 50-saves games.