Sheringham is the attacking coach at West Ham but has spoken to Borough about replacing Graham Westley, whose contract expires at the end of the month
In a statement, the club said: " Stevenage FC have confirmed they are in talks with former Man United, Spurs, West Ham and England international Teddy Sheringham with a view to him taking over as manager next season."
The move would be 49-year-old Sheringham's first into management after his appointment to become a member of the Hammers' staff 12 months ago
Sheringham started his career with Millwall and played for Nottingham Forest, Tottenham (twice), Manchester United, Portsmouth, West Ham and Colchester before retiring aged 42
He earned 51 caps for England.
Stevenage reached the play-offs this season, but lost to Southend last week, and Westley's time at Broadhall Way appears up after eight seasons over three spells.
Stevenage chairman Phil Wallace said: " Graham Westley's agreement ends on 31 May and his team couldn't have done more from a results viewpoint this season, but Graham's been Stevenage manager for eight of the past 12 years and that's a long time at this level of football
"Our board doesn't dishonour contracts at a whim, so even when things weren't going well in 2014, we kept the faith and our faith was rewarded by results in 2015
"Graham may now have some football offers coming in that we wouldn't be able to match and I know he has some opportunities outside of football to consider.
"Despite the utmost respect and appreciation I have for everything he's done for Stevenage FC, sometimes you have to accept that a business needs to change to refresh itself and evolve."
Sheringham told Sky Sports News: "I'm looking forward to going there and seeing what they have to say.
"Hopefully it (meeting Stevenage) will be this week and I might have some news by the end of the week."
Source : PA
Source: PA