Parker's injury is currently being evaluated by Spurs medical staff while the first-team squad are on tour in the United States.
Manager Andre Villas-Boas may have to do without Parker, who could also miss games for England, for the start of the new season.
Villas-Boas said, in quotes reported by several national newspapers: "There might be a small tear on his Achilles - we are at the moment evaluating the situation regarding a possible operation that can take four to six weeks normally to heal."
Parker's absence could see him sidelined until September, forcing him to miss Spurs' start to the Premier League campaign.
Parker could also miss England's friendly against Italy on August 15 and, depending on the operation date and his recovery, the World Cup qualifiers with Moldova (September 7) and Ukraine (September 11).
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!