Phil Parkinson's men will now play Hartlepool United at the Coral Windows Stadium on the same day (Saturday 2 August 2014) instead.
The Hartlepool friendly will kick off at 3:00pm.
The move to change City's pre-season friendly opponents from Morecambe to Hartlepool comes after the Bantams were ironically drawn to face the Shrimps in the Capital One Cup first round last month.
The club would like to apologise for any inconvenience this change may cause to supporters.