The United Kingdom and tournament hosts Russia are embroiled in a diplomatic row following a poisoning incident in the English city of Salisbury which left an ex-Russian spy and his daughter ill.
Several British politicians have suggested that England should withdraw from the tournament, while government ministers and members of the British royal family will not be in attendance.
A statement published on Wednesday by the English football governing body read: "The FA will continue to work closely with the UK government and relevant authorities regarding our participation in this summer's FIFA World Cup and the Women's World Cup qualifier in June.
"Our priority for all England matches is to ensure the safety and security of the fans, players and staff. As is standard practice, we will take all travel guidance from the Foreign and Commonwealth Office."
Prime minister Theresa May, speaking at Prime Minister's Questions on Wednesday, said that the government would "look at security and protection of any UK football fans travelling to the World Cup".
Russia denies being involved in the attempted murder of Sergei Skripal and his daughter Yulia.