The midfielder is enthused by the side's early business in the summer transfer window.
Some are expecting a title challenge from Louis van Gaal's side next season, but Sheringham says it will be difficult.
The new Liverpool signing is already a popular man.
The effect Tim Sherwood has had on the club in recent months proved enough to convince the defender that Vila Park was the best place to continue his career.
Leeds United have started their preparations for the 2015-16 Championship campaign.
When Novak Djokovic arrived here this year without a warm-up event and with the wounds of another near miss at the French Open still fresh, the consensus was that it would take something special for him to bounce back by successfully defending his Wimbledon title.
The former champion Maria Sharapova continued her smooth, relatively untested progress through the Wimbledon draw as she saw off Irina-Camelia Begu of Romania 6-4, 6-3 on Friday to book her place in the last 16.
Heather Watson observed with some cause during a good run of results last season that anyone can beat anyone on their day in the modern game.
The former England boss also says it will be difficult for the player to replicate his Argentina form at Old Trafford.
It would take something extraordinary for Rory McIlroy to claim the victory he arrived at Chambers Bay in pursuit of.
Jason Day retains a strong chance of completing what would be one of the more astonishing major championship victories in recent times, with the Australian part of a four-way 54-hole lead at the US Open.