Defensemen Kevin Czuczman and Pierre-Olivier Joseph's statuses have been changed from emergency recall to regular recall.
Weber, 32, has played in parts of 12 seasons in the NHL split between Montreal, Vancouver and Nashville. Most recently, Weber spent the previous four seasons with the Predators from 2016-20. Last season, he recorded one goal, two assists and three points in 41 games.
The defenseman has recorded 28 goals, 66 assists and 94 points in 497 career games, including 12 power-play goals and five game-winning goals. Weber set career highs with 11 goals and 21 points in 2014-15 with Vancouver, while recording a career-high 14 assists in 2011-12 with Montreal.
The 5-foot-11, 200-pound defenseman has also skated in 42 career NHL playoff games, tallying four goals, two assists and six points.
Pittsburgh's taxi squad is now as follows:
F - Anthony Angello
F - Frederick Gaudreau
D - Will Reilly
G - Alex D'Orio
G - Maxime Lagace
The Penguins take on the New York Rangers tonight at Madison Square Garden. Puck drop is at 7:00 PM ET.