The Gunners meet the Championship strugglers at Portman Road, just three days after the Tractor Boys were demolished 7-0 by Chelsea in the FA Cup third round.
But Fabregas does not expect an easy outing against a side who will be desperate to atone for a disappointing performance.
“Although Ipswich are a Championship team, that can make them even more dangerous,” Fabregas said.
“Their motivation will be very high - these will be the biggest two games of their year.
“They will be desperate to beat us, they will want to show their strengths, and their motivation will be as high as possible.
“If we want to get through we will have to match that motivation, if not raise it further.”