The 49-year-old says that his side need to hit top form to stand a chance of qualifying for the 2014 World Cup, starting with victory over Andorra on Friday
Turkey currently lie in fourth place in their group, six points adrift of a play-off spot, and Avci knows victory in Andorra on Friday needs to be the start of an impressive run of results.
"We respect our opponent. We're preparing for our games with focus regardless of who our rival is. I'm quite happy with my players' recent condition both physically and psychologically," the 49-year old told reporters.
"We aim to win our all remaining games. If we can win our next two games we can gain an advantage in qualifying for the World Cup. We expect our fans to support us."
Avci also commented on the current strength in depth in the goakeeping department, as well as the decision to include key player Hamit Altintop in the squad despite injury.
"We have three in-form goalkeepers. One of them will be able to play. Hamit had already been suspended for the game against Andorra but we've included him in the squad anyway. He has an injury now but we want him to be ready for the next game against Hungary."