Cruz and Fischer were both elected in last November's elections, taken over seats that were being vacated by retiring Sens.
Kay Bailey Hutchison (R-Texas) and Ben Nelson (D-Neb.) respectively.
Scott was appointed to the Senate last month after former South Carolina
Sen. Jim DeMint (R) resigned from the chamber.
GOP leaders also announced that Fisher and Sen. Roger WickerRoger WickerAs US healthcare changes, preventative screenings can't stop A guide to the committees: Senate Pruitt confirmation sets stage for Trump EPA assault MORE (R-Miss.) would be joining the Senate Environment and Public Works Committee, while Sens. Lamar AlexanderLamar AlexanderOvernight Regulation: Trump's Labor nominee hints at updating overtime rule Trump's Labor pick signals support for overtime pay hike Live coverage: Day three of Supreme Court nominee hearing MORE (R-Tenn.) and Mike JohannsMike JohannsLobbying World To buy a Swiss company, ChemChina must pass through Washington Republican senator vows to block nominees over ObamaCare co-ops MORE (R-Neb.) would be leaving the panel.
-This post was updated with new information at 2:31 p.m.