Oklahoma’s Bradford is scheduled to arrive Tuesday and stay until Wednesday, and Texas’ McCoy will arrive Wednesday and stay until Thursday, according to Brandt.
The Rams originally had a private workout scheduled with Bradford on April 19, just three days before the draft.
Earlier this month, the Rams released veteran QB Marc Bulger, a move that some considered a precursor to the team selecting Bradford with the No. 1 pick.
If the Rams opt to go in a different direction, McCoy could be an option in the second round. Rams general manager Billy Devaney told the St. Louis Post-Dispatch that he was impressed with McCoy during a private workout last week.