Arsenal have a massive week coming up with Villarreal in the Champions League followed by Chelsea in the FA Cup semi-final before taking on Liverpool in the Premiership.
Fabregas is calling on the side to go unbeaten until the end of the campaign.
He said: "We want to go all the way.
"We have said to ourselves we do not want to lose another game before the end of the season and that's what we will try to do. Of course, we cannot say for definite that will happen. But that's the aim, for sure. That has been our intention.
"We have done it during the past few weeks. We just need to keep it going for a few weeks more."