The centre-back has admitted that he is keen to see his colleague represent Belgium in the finals, even though his presence will benefit the Three Lions' Group G rivals.
"I hope Vinny gets back as soon as possible, his health is the main thing," The Independent quotes Stones as saying.
"He's a great player and a great leader and it's sad to hear he's got a little injury. I don't know the extent of it but I'd definitely love to see him - and anyone from City - at the World Cup.
"I never want anyone to get injured. It's a blow for Belgium, for City and for me because I'm his friend. He's got to get back and I hope he does as soon as possible. It's sad news to hear but he has been named [in the squad] so fingers crossed for Vinny."
Kompany is struggling with a groin strain he picked up in a pre-season friendly against Portugal in the run-up to the finals.