Guardiola and Kompany both want to extend the captain's 11-year stay beyond the summer.
"We are considering it — I would like it," Guardiola said. "We saw in the last games the huge quality and personality he has to play. The only problem is his injury problems.
"One-against-one, absolutely we're better when Vincent plays. Every central defender has his own quality but there's no doubt Vincent has something special.
"He's one of the best central defenders I've ever seen."