Babb only scored once during six Premier League years and 170 appearances in all competitions for Liverpool, incidentally against his former club, Coventry, in September 1996. While at Liverpool he played in the victorious 1995 Football League Cup Final. In 1998, Babb was involved in an infamous blooper against Chelsea which ended with him sliding into the goalpost with a leg either side, injuring his coccyx. In January 2000 he joined Tranmere Rovers on a one-month loan and helped them reach the 2000 Football League Cup Final, however his loan spell ended before the final itself and he was unable to take part. He moved to Portugal with Sporting Clube de Portugal on a free transfer in 2000, appearing in 38 official games in his second season – one goal against FC Midtjylland in the UEFA Cup (3–0 away win, 6–2 on aggregate)– as the Lions conquered both the league and the domestic cup.