However, City remain without a host of star names due to the international schedule including Joe Ledley, Ross McCormack and Gabor Gyepes, while several younger players are also away on Under-21 duty.
Elsewhere, as many as eight Bluebirds players went down with a bug last week, forcing Chris Burke to drop from the starting XI to the bench for Saturday's 4-0 triumph over Scunthorpe and Ledley to come off at half-time.
It remains to be seen whether Burke will feature from the off this time around although Jones is determined to put out his best possible XI.
He told the club's official website: "We've been hit by international calls but we'll put out our strongest team because we take this competition seriously. There could be opportunities here for Academy lads. In situations like these, one person's loss is another person's gain."
Dagenham manager John Still will be without forward Jon Nurse.
Nurse scored a spectacular long-range strike at Crewe on Saturday as the Daggers won 2-1 but picked up an ankle injury late on and will sit out the trip to Wales.
That could see Josh Scott for make his debut after he completed a three-game suspension picked up last season with Hayes & Yeading while Wesley Thomas is also in contention to start.
Thomas had been a doubt to face Crewe thanks to a knock but he came on as a substitute at Gresty Road and could feature.
Mark Nwokeji remains two weeks away from a return to training as he continues his eight-month lay-off with a cruciate knee ligament injury.
Defender Anwar Uddin has not trained since the first training session in July due to a bang on his leg and is still out.
Sporting Life