Tippett twice earned AFC Defensive Player of the Week awards. The first in the Patriots 20–13 win over the New York Jets as he stopped the Jets 3 times within the 10 yard line on 10–20–85. Next, he was the AFC Defensive Player of the Week in the Patriots 21–7 win over the Houston Oilers on 10–18–87. In this victory over Houston at the Astrodome, Andre had 3 sacks, defended on a pass play and blocked a field goal attempt that was returned for a touchdown by Raymond Clayborn. He had 1.5 sacks in his final game on January 2, 1994 against the Miami Dolphins.