Spurs cut Chelsea's lead at the top of the table to 10 points with their latest win at White Hart Lane and Pochettino was delighted to see his side cope without their talisman.
So this was opportune timing for Eriksen and his manager Mauricio Pochettino, as the creative midfielder ended an eleven match streak without a goal to open the scoring here and ease the anxiety of Kane's absence.
Like Pochettino's Tottenham, Southampton are a club with a clear philosophy.
The forward scored a hat-trick in last weekend's 6-0 win over Millwall in the FA Cup and he's got a decent tally of 14 goals to his name this season. "We still played the same system, it was just a different player, Sonny, up top instead of Harry". "Southampton are a very good team with very good players and it was hard, but in the end I think we deserved the victory".
As the season enters its final two months, Southampton are comfortably safe from relegation and nowhere near qualifying for Europe. We didn't have a lot of opportunities, but neither did Tottenham.
Spurs have already played top-flight opposition without Kane in the team nine times in the current campaign.
Second place Tottenham will host beaten EFL Cup finalists Southampton at White Hart Lane on Sunday (19 March).
SOUTHAMPTON: Forster -1, Soares 2, Stephens -1, Yoshida -1, Bertrand 4, Davis 0, Romeu 2, Ward-Prowse 8, Tadic 0, Redmond -1, Gabbiadini 0.
They could even have added a third goal before the end of the game when Vincent Janssen, on as a second-half substitute, bulldosed his way through the Saints defence but saw his powerful shot saved by Forster.
Last of them were on current season, where Tottenham won by 1-4 goals in away games. Alderweireld will lament his botched attempt to deal with Bertrand's cross from the left and, with Jan Vertonghen wrong-footed behind him, Ward-Prowse took a touch to control with his chest before squeezing his shot past Hugo Lloris.
Alli stepped up to take it himself and confidently slotted the ball into the bottom corner of the net to put his side two goals in front. But Tottenham lost at home last time with Southampton.
Spurs thought they had found the key to Southampton's success when they poached Paul Mitchell and his "black box" to head up recruitment in November 2014 but they were sold a dud.