The 22-year-old midfielder has been out of action since suffering a cracked bone in his fibula during the Champions League quarter-final first leg clash against Barcelona on 31 March and will not feature again for the Gunners this season.
Fabregas is set to visit a specialist in London next week, with the player expecting to then step up his rehabilitation work ahead of Spain's opening match in South Africa, against Switzerland at Durban on 16 June.
Writing his captain's notes in the Arsenal match programme for the Premier League game against Manchester City, Fabregas said: "I am back in Spain at the moment, but will return to London for a specialist appointment and routine scan in the next few days.
"I will be at the last [Arsenal] game of the season, of course, because all the players will go on a lap of the pitch to thank the fans for their support again this season.
"After that, I will return to Spain for the rest of my rehabilitation, then get ready for the World Cup.
"In my mind, it is 100 per cent that I will be over my injury in time for the World Cup," the note read.