"If we continue to get injuries then we are going to be struggling to be putting teams out."
Chopra admitted he played through Tuesday's FA Cup third round replay despite feeling unwell and that he has been struggling for the last three weeks.
Other members of the squad have also suffered with illness including strike partners Jay Bothroyd and Ross McCormack.
But boss Jones also has defenders Mark Hudson, Adam Matthews, Kevin McNaughton and midfielder Aaron Wildig all carrying injuries, while Gavin Rae and Josh Magennis remain on the sidelines.
Matthews, 18, and Wildig, 19, played through the pain barrier against Bristol City but were substituted during the game.
"Three games in six days at that age is far, far too much," said Jones. "Adam is struggling with his groin and Aaron with his back."
Cardiff will face Leicester City in the fourth round on Saturday after Chopra's shot rebounded off the post and hit Bristol City's Bradley before going into the net to seal a 1-0 win.
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