Perez has scored a hat-trick in his last two appearances against Saints, for the Foxes and his previous club Newcastle United.
He could now become the first player in Premier League history to score three or more goals in three consecutive matches against the same club when Leicester host Saints on Saturday.
He netted back-to-back trebles for the Reds against Norwich City but could only score one in his third match.
Suarez did, however, go on to bag another hat-trick against the Canaries. He remains the only player to hit three trebles overall against one team.
If Perez does repeat his personal scoring feat it will also put Leicester on course for a Premier League record.
The most a team have scored against one club across both fixtures of a campaign is 12, achieved by Blackburn Rovers versus Nottingham Forest in 1995/96 and Tottenham Hotspur versus Wigan Athletic 14 seasons later.
But Southampton are a different prospect to the team beaten 9-0 by Leicester in October's reverse fixture.
Since that record defeat, Ralph Hasenhuttl's side have conceded only 13 times in 11 matches, the third-fewest in the league.
So, as they seek revenge, Saints may even target a record of their own.
The biggest goal swing between opponents in the same season is 10, which has occurred twice in Premier League history.
Southampton can beat that mark if they win 2-0 at King Power Stadium.