If other results go their way, Mauricio Pochettino's charges could even find themselves second - a scenario that illustrates the club's remarkable start to the 2013-14 campaign.
With just one defeat to their name this season - a record shared only by Everton and table-topping Arsenal - Southampton have established themselves as contenders for a European berth.
The south coast club had to settle for a point last time out, Jay Rodriguez's goal earning a 1-1 draw at the Britannia Stadium after Stoke City goalkeeper Asmir Begovic had sensationally opened the scoring from almost 100 yards 13 seconds into the game.
Hull's efforts this season should also not be overlooked.
Steve Bruce's men are currently the highest-placed of the promoted sides, with a 1-0 victory over nine-man Sunderland last weekend lifting them to 10th.
Hull boss Bruce is full of praise for this season's surprise package in the Premier League.
"I have to say, Southampton have been a breath of fresh air when you look at the young players they've got," he said.
"Only a few years ago the club was in administration, but fair play to them all - they've done a wonderful job.
"To get 19 points from 10 games is a wonderful achievement and it's as hard a game as we'll have. This will be another big, big test for us."
