The Defensive Tackle started only two games in 1997 but had 6.5 Sacks despite the limited action. Glover became the starting Right Defensive Tackle the year after, improving to an even ten Sacks. In 2000, Glover had his best year in football, as he began a six-year streak of Pro Bowls, and was a First Team All-Pro. Stat wise, he had career-highs in Sacks (17) and Tackles for Loss (18). After a 2001 Pro Bowl year, the last four of the aforementioned six-year streak of Pro Bowls was as a Dallas Cowboy, the team that signed him as a Free Agent.
With the Saints, Glover had 50 Sacks and 275 Tackles.