Leeds United manager Jesse Marsch has confirmed Rodrigo suffered a dislocated shoulder in Tuesday's draw with Everton.
Luis Sinisterra cancelled out Anthony Gordon's first-half opener in a pulsating affair at Elland Road.
Rodrigo had to be brought off in the first-half, with Marsch confirming: "He dislocated his shoulder so the question is how much damage was done in that action.
"Sometimes it can be a week, sometimes it can be two months depending on the damage. He feels better, which is a good sign but we need a scan. I thought Patrick Bamford did well and held up some balls and combine.
"I also think Joffy [Gelhardt] played well. It is not always easy to take a player in and then out. We like those guys and have quality up front. We will find ways to be more dangerous."
