The Football Association has been at pains to stress that the race to succeed Sven-Goran Eriksson as England manager is still wide open.
Barwick is part of a four-man panel who will choose the new boss
The interview process was discussed at a board meeting on Wednesday, but the FA's statement said no specific candidates were discussed.
"The FA can confirm that we remain on target to make an appointment before the World Cup," read the statement.
"At this time, no decision has been taken on who the next manager will be."
FA chief executive Brian Barwick is reported to have a shortlist of three or four names to replace Eriksson.
Barwick gave an update to the board on behalf of the nominations group on Wednesday.
The FA statement added: "Due to the magnitude of the England team, this process understandably continues to attract a huge level of interest, which leads to intense media speculation.
"However, out of courtesy to all parties involved in this process, the FA has a responsibility to ensure a level of confidentiality is maintained until we are in a position to make an appointment."
It is believed there may be no non-British contenders on the shortlist that could include ex-Celtic manager Martin O'Neill and Middlesbrough boss Steve McClaren.
Bolton boss Sam Allardyce and Alan Curbishley of Charlton are the other names thought to be in the frame.
If that is the case it would mean that the likes of Australia and PSV Eindhoven boss Guus Hiddink, Fabio Capello of Juventus and Portugal coach Luiz Felipe Scolari will not be part of the formal interview process.
The shortlist was drawn up by the nominations group of Barwick, international committee chairman Noel White, Premier League chairman Dave Richards and FA board member David Dein.
The group will interview all the candidates, perhaps with FA director of football development Sir Trevor Brooking alongside that panel.