Brady was also known as a great baseball player in high school. He was a left-handed-batting catcher with power. His skills impressed MLB scouts, and he was drafted in the 18th round of the 1995 MLB Draft by the Montreal Expos. The Expos projected Brady as a potential All-Star, offering him money typical of that offered to a late second-round or early third-round pick. Nevertheless, Brady was determined to play football at the next level. He was always more passionate about football; when he found that there was significant interest in him, he decided to take the road of football. Brady was recruited by Michigan assistant Bill Harris, signing to play for the University of Michigan in 1995. He finished his high-school football career by completing 236 of 447 passes for 3,702 yards and 31 touchdowns. He also won All-State and All-Far West honors and the team's Most Valuable Player Award.