The Hawkeye system will be installed at the national stadium for the match, which will be Roy Hodgson's first home game in charge of England.
If there are any close calls however only the scientists monitoring the system will know the results - the referee will not be informed.
If the tests are successful, the go-ahead for technology is expected to be given on July 2.
It will be the final live test for the Hawkeye system and follows a previous test during the Hampshire FA Senior Cup final at Southampton's St Mary's Stadium on May 16.
Another system, called GoalRef, is being tested in the Danish Super League. All the tests are being monitored by officials from EMPA, the Swiss Federal Laboratories for Materials Science and Technology.
FIFA said in a statement: "Such tests could lead to the International Football Association Board (IFAB) approving the introduction of GLT at its special meeting at the beginning of July.
"Only the EMPA observers, IFAB and FIFA representatives at Wembley will have access to the GLT system readings.
"Therefore, should a goal-line incident occur at this or any of the 'test' matches, the system will not be utilised by the match officials. It means the GLT system will have no influence on the outcome of the matches in which the system is being tested.
"FIFA would like to place on record its sincere thanks to the Football Association for their willingness to support the live match tests, a critical part of Test Phase 2 for goal-line technology."
FA general secretary Alex Horne said: "We remain committed to the introduction of goal-line technology on the basis that it is accurate. We are in an intensive phase of testing and are delighted we can help FIFA by using our stadium at Wembley.
"We look forward to considering the results at the next meeting of IFAB."