 Players such as Alan Shearer, Stuart Ripley, Graeme Le Saux and Kevin Gallacher were brought to the club and Mimms was a key part of the team which finished fourth in the 1992–93 season, just missing out on a UEFA Cup place.In November 1993, Southampton goalkeeper Tim Flowers was brought in as the new number one.From then on, Mimms was rarely selected in the starting line-up, his four appearances in the 1994–95 season not being enough for a title medal, and in early 1996 joined Crystal Palace, where he played just once.