Mr Sheringham was made an MBE in the Queen's Birthday Honours List

It emerged that police had arrested him on 15 May on suspicion of perverting the course of justice.

He is one of 12 people, including a further two Premiership players, questioned in the same inquiry.

The ex-West Ham forward, who was made an MBE last week, was bailed to return in July for further inquiries.

The 12 arrests all related to allegations that motorists had falsely claimed that another person was driving their car when they were caught by a speed camera.

A Metropolitan Police spokeswoman said: "Officers believe that for a number of years drivers have been falsely nominating (speeding) tickets to the same one address and driver."

Mr Sheringham's solicitor, Henri Brandman, said the footballer was co-operating with officers and had not been charged.

Mr Sheringham, whose professional career spans 23 years, has made more than 800 appearances for club and country, and left West Ham at the end of the season in May.

He won 51 caps for England, scoring 11 goals, and was part of the team which reached the semi finals of the European Championships in 1996.

Other arrests

Last Wednesday West Ham striker Bobby Zamora, 26, was arrested on similar grounds after he allegedly gave false details about police camera footage of a car apparently speeding.

Midfielder Shaun Newton, 31, was also questioned regarding similar allegations, two days after Mr Sheringham.

Both Mr Zamora and Mr Newton have been released on bail to return in July for further inquiries.

Officers also arrested a woman at her home in Morden, south London, on 8 June, on suspicion of perverting the course of justice. She has also since been bailed to return in September.