Garcia had been due to try and take the title from Judah at the Barclays Centre in Brooklyn on February 9.
But the challenger sustained a rib injury in his preparations, and after seeing a doctor the fight was put back almost three months.
"I didn't even really feel it until we were done," said Garica, the current WBC and WBA light welterweight champion who has a perfect record in his 25 professional fights.
"But then I felt pain in my side and then when I was cooling down I couldn't raise my hands over my head.
"I had a real sharp pain and I couldn't really breathe. I went to the doctor and had an X-ray, and the doctor said I have a bruised rib, a wall contusion."
Judah, who has been beaten seven times in his 51 professional fights, immediately taunted his opponent via Twitter, accusing his unbeaten opponent of pulling out in order to try and get more time to prepare.