"He will have a scan at the club on Thursday," Jones told BBC Sport Wales.
In another worry for the Bluebirds, Phil Brown was in the stands, the Hull manager thought to be running the rule over transfer targets Joe Ledley and Ross McCormack.
The match was Cardiff's second at the new stadium, following a 4-0 friendly win over Chasetown two weeks ago.
For Celtic, the game marked another step forward in their preparations for the forthcoming Champions League qualifier with Dinamo Moscow after triumphing 3-0 in their opening pre-season game against Brisbane Roar.
They now have the weekend Wembley Cup clashes with leading Egyptian outfit Al Ahly and Tottenham to iron out any remaining faults before the action starts for real.
Cardiff manager Dave Jones: "We have got to try to turn [the new stadium] into our home and that is what I said to the players before the game, that we have got to go out and perform.
"Everyone associated with the club can be proud of [this occasion] and the new stadium and I was pleased with what we got from the game.
"At this stage it is about fitness levels and we are running at about 85% at present."
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