Berube was traded from the Flyers to the Rangers for future considerations on Wednesday.
Berube signed a two-year, two-way contract with Philadelphia on Monday.
Berube was sent down to AHL Cleveland on Friday.
Berube was promoted from AHL Cleveland on Monday.
Berube was sent back to the minors Friday.
Berube is projected to start Saturday evening versus host Chicago, Aaron Portzline of The Athletic reports.
Berube was placed on waivers for the purpose of reassignment Wednesday.
Berube stopped 14 of 15 shots during two periods in a 4-1 victory over the Blackhawks on Tuesday.
Berube is projected to start for the Blue Jackets in their preseason home tilt versus the Blackhawks on Tuesday.
Berube was brought in from Chicago by the Blue Jackets on Wednesday in a swap fo Jordan Schroeder.