Nash, injured Friday night against Anaheim, is tied for the club lead with 13 goals and ranks second with 17 assists and 30 points. He is listed as day-to day.
Westcott has four goals and six assists in 23 games. He was hurt during a 5-2 loss to San Jose on Saturday night.
The Blue Jackets also recalled left-winger Alexandre Picard and defenceman Derrick Walser from Syracuse of the AHL. Picard has appeared in seven games with the Blue Jackets this season. Walser was acquired from Carolina in November.