Shipley (18) and Biamou (33) put the Sky Blues in charge and although Luke Garbutt pulled one back with six minutes remaining they held on to book a meeting with Bristol Rovers or Plymouth.
Ipswich almost took a second-minute lead after a clearance from goalkeeper Tomas Holy found Kayden Jackson with just Marko Marosi to beat but the Slovakian saved the striker’s effort.
The Sky Blues took the lead when Biamou slipped a pass into the path of Shipley, who slid his low shot under the body of Holy.
And they struck again 12 minutes from the break following a flowing move which ended when Shipley’s pass was finished off by Biamou.
The Sky Blues should have made it 3-0 in the 65th minute following a quick break upfield when Jamie Allen’s cross was met by Biamou who shot over the bar.
Ipswich pulled a goal back late on following a cross by Jackson which was headed home by Garbutt.
Report - Ipswich Town 1-2 Coventry City
Shipley (18) and Biamou (33) put the Sky Blues in charge and although Luke Garbutt pulled one back with six minutes remaining they held on to book a meeting with Bristol Rovers or Plymouth.
Ipswich almost took a second-minute lead after a clearance from goalkeeper Tomas Holy found Kayden Jackson with just Marko Marosi to beat but the Slovakian saved the striker’s effort.
The Sky Blues took the lead when Biamou slipped a pass into the path of Shipley, who slid his low shot under the body of Holy.
And they struck again 12 minutes from the break following a flowing move which ended when Shipley’s pass was finished off by Biamou.
The Sky Blues should have made it 3-0 in the 65th minute following a quick break upfield when Jamie Allen’s cross was met by Biamou who shot over the bar.
Ipswich pulled a goal back late on following a cross by Jackson which was headed home by Garbutt.