Ironically, for a man with a tough nickname like "Moose," Skowron earned a reputation for being fragile. He suffered four or five serious injuries in his nine seasons with the Yankees, injuries serious enough to keep him on the sidelines for a week or more at a time. He also suffered from nagging injuries throughout his career and he seemed to be one of those guys who seemed to "attract" the ball, constantly getting his hands, arms, and feet banged with errant throws or pitches. In 1966 he broke his finger in the final days of spring training when a throw dislocated the appendage. He kept it to himself and played the first six weeks of the season with a broken finger.