The Real Madrid forward sustained a shoulder injury during Tuesday's fixture against the United States, and is a major doubt for this week's clash with Paraguay.
Paraguay coach Ramon Diaz feels that James Rodriguez's absence would be a significant blow to Colombia at the Copa America Centenario.
James is battling a shoulder injury suffered in the opening game of the tournament against the United States, but will be given until the last minute to prove his fitness for Tuesday's clash.
Diaz admits that Colombia has a deep squad, but maintains that the side will find the game significantly harder to win if James is ruled out.