Mossy Lawler's side kick off the competition away to Rotherham on Saturday, October 14, at 2pm in Clifton Lane.
The following Sunday (October 22) an Ealing Trailfinders outfit featuring former Connacht man Shane O'Leary travel to the Sportsground for a 2pm kick-off.
A double-header against Richmond takes place in December with an away trip on Saturday, December 9, and a home clash at the Sportsground on Sunday, December 17.
The Eagles are away to Ealing on Saturday, January 13, before rounding off their Pool 4 fixtures at home to Rotherham on the weekend of Saturday, January 20 (details to be confirmed).
Connacht Eagles B&I Cup Fixtures
Saturday, October 14
Rotherham v Connacht Eagles, Clifton Lane, 2pm;
Sunday, October 22
Connacht Eagles v Ealing Trailfinders, The Sportsground, 2pm;
Saturday, December 9
Richmond v Connacht Eagles, Athletic Ground, 3pm;
Sunday, December 17
Connacht Eagles v Richmond, The Sportsground, 2pm;
Saturday, January 13
Ealing Trailfinders v Connacht Eagles, Trailfinders Sports Ground, 3pm;
Weekend of Saturday, January 20
Connacht Eagles v Rotherham, The Sportsground, TBC;