England's elite rugby director Rob Andrew has given his support to four players who are at the centre of a "serious allegation" which is being investigated by New Zealand police.

An incident is alleged to have occurred in a private room at the team's Hilton hotel in the early hours of Sunday morning, New Zealand time, following England's 37-20 defeat to the All Blacks.

According to reports, the incident involved a woman, but Auckland Police said a formal complaint had yet to be lodged. No further details have been released.

Andrew confirmed England, now in Christchurch preparing for Saturday's second Test, are co-operating with police over the matter.

He said: "The England rugby team has been informed by Auckland police that an allegation has been made against four members of the England playing squad.

"Whilst no formal complaint has been made we are co-operating with the police and their enquiries. The players concerned have the complete support of all the players and the management."

Andrew would not comment further, nor would the England team's traveling lawyer Richard Smith QC.

An Auckland police statement read: "Auckland City Criminal Investigation Branch is investigating an allegation involving up to four members of the England rugby team.

"The incident being investigated is alleged to have occurred early on Sunday, June 15th, in a private room. Whilst an allegation was brought to the attention of police on Sunday evening, no formal complaint has been received.

"Investigating officers are receiving the appropriate level of co-operation from the England rugby team management."