Sherwood's future at White Hart Lane looks increasingly uncertain and he has admitted in recent weeks that he doesn't know if he will be retained as first-team boss.
The weekend defeat to north London rivals Arsenal has left Sherwood's men seven points adrift of the Champions League places and Spurs supremo Daniel Levy is reportedly looking around for a new manager to take over in the summer after being less than impressed with the former midfielder's spell in charge since he succeeded Andre Villas-Boas in December.
Plenty of experienced coaches have been mentioned in connection with the Spurs job and now Saints' respected manager Pochettino has emerged as a possible candidate.
Levy, like several other club owners and chairmen, has been impressed with the work the Argentinian has done at St Mary's as he has led Southampton up the Premier League table with an attractive brand of pressing football.
He has also been linked with other big posts in Spain and Italy and is thought to be unsettled on the south coast after Saints chairman Nicola Cortese, who was key in bringing him to England, left earlier in the campaign.