Despite a 4-1 win over Dutch outfit AZ Alkmaar on Wednesday night, the Gunners can still mathematically miss out on progressing to the next phase but it is seemingly unlikely as they meet Belgian club Standard Liege at home in two weeks and a point should be enough to book their place in the knockout stage.
"It is not definite so we'll have to keep working until the end,” Fabregas, who netted twice in the win, told Sky Sports 2.
"Even if we had qualified today we would have wanted to win and have gone for the six points. That is our mentality."
Fabregas was also keeping his and his teammate’s feet on the ground in relation to a great start to their season in all competitions.
“It's just the beginning of the season, nothing is done, we want to keep going until the end," Fabregas continued.
"I'll feel it is something special when we win something.
"We want to win and if we win something at the end we will say we had a good year.
"We can still do better so we'll try to improve in the next few games."