The Croatia international struck in the 54th minute to end Liverpool's 12-match unbeaten league run spanning this season and last.
However, the Saints - the last team to defeat the Reds in March - may not have won 1-0 had referee Neil Swarbrick had the benefit of television replays which showed the defender had brought down Daniel Sturridge in the first half.
Southampton had probed in the first half without properly testing goalkeeper Simon Mignolet, who created his own problems by coming for a ball Skrtel had covered and could only watch as Adam Lallana volleyed over the open goal.
Chances seemed to be a premium for strikers at both ends as Southampton's England international Rickie Lambert had one sight of goal, from Gerrard's miscontrol, but sliced a gentle looping shot into the arms of Mignolet.
Raheem Sterling's came on for Aspas at half-time and should have injected some life into Liverpool's attack but it was Saints who struck in the 54th minute.
Lovren beat Agger to Lallana's corner to head down and past Gerrard on the goalline. It was a goal you sensed had been coming for a while.
Full coverage of all today's fixtures can be found on the ITV Sport website here
March 2013: Brighton's Ashley Barnes tripping a referee (required six-match suspension)
It said it could not compare the incident to a 2006 incident involving Manchester City's Ben Thatcher and Portsmouth's Pedro Mendes because the latter was "serious foul play" while Suarez's bite constituted "violent conduct."
As a result, the FA said, the length of Suarez's ban had to be proportional to the six-game ban given to Brighton's Ashley Barnes:
(83) Taking these factors into account on the circumstances of the incident, we concluded that this offence is significantly more serious than that of Ashley Barnes’ and, accordingly, the punishment should be significantly higher.
Cruise liner ports in the South have raised concerns about the sailing later today of Liverpool's first ever turn around cruise. The row has been sparked by a dispute over private vs public funding and claims of unfair competition.
Southampton had said it was unfair for Liverpool to use public money to compete in the cruise liner market. Liverpool terminal managers have said they will repay some of the public grants awarded to build their site. Until now liners have visited Liverpool, but not started or ended journeys there.