If that goes according to plan, Smith will then pitch in an extended spring game next Saturday.
"This coming week will be a good test for him," said Farrell.
Rodriguez, who suffered a patella subluxation in his right knee at the beginning of Spring Training, had no pain after throwing 50 pitches in a simulated game on Wednesday. The left-hander's pitch count will increase when he throws another simulated game on Monday.
Quinn Roberts is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.