Glover joined Luton Town on loan in September 1991, in a move that reunited him with David Pleat, but he played just the one First Division game in a brief stay at Kenilworth Road. After returning to Nottingham he scored against Spurs at White Hart Lane in the semi-final of the League Cup. He was an unused substitute in the final, as Forest lost 1–0 to Alex Ferguson's Manchester United. He was also an unused substitute in the 1992 Full Members' Cup Final victory over Southampton. He scored twice in the 1991–92 season, both times in the League Cup.