The 24-year-old has been forced to pull out of the bout after a picking up the injury during his training camp in Cyprus.
It is the second fight in quick succession Groves has had to pull out of, having withdrawn from a scheduled defence of his British and Commonwealth belts against Kenny Anderson with a back problem.
"I am truly sorry to everyone who will be affected by this," said the 24-year-old.
"This is the toughest decision I've ever had to make and I am gutted, but nothing worth having is given away. It's only made me more determined to become world champion."
"We tried to work through it, but soon realised I wouldn't be able to perform the training needed to prepare for this fight.
"After immediately coming back to London and seeking medical advice, I hope this problem will be quickly sorted and cause only a short delay."
There is no news yet on whether Stieglitz, the 30-year-old German champion, will rearrange the contest with Groves or seek another opponent.