Valcke will have a meeting with tournament organisers in Rio de Janeiro on Monday and he said: "We are 80 days away from the World Cup and people in the two locations with the main issues - Porto Alegre and Sao Paulo - have said that we should receive some positive information. The main concerns should disappear, and we should feel (we are in a) more comfortable situation by next week."
He added: "Ticket sales and hospitality sales are a great success - it is more than we have done in the past."
FIFA also revealed it had record revenues of 1.38billion US dollars (£849million) and a surplus of 72million dollars (£43million), leaving it with reserves of 1.4billion dollars (£850million).
But Valcke warned: "We still have to face the most important time and the final cost of the World Cup is not yet clear."