Warriors will host Welsh Principality club Pontypridd at Sixways in the quarter-finals of the B&I Cup on the weekend of January 23/24/25, 2015.
The Welsh side were narrowly beaten by Bristol in two of their pool matches but beat both London Scottish and Connacht Eagles twice to secure a place in the knockout stages.
Having made a successful return to the professional second tier in September, Doncaster Knights will face 2012 winners Munster A at Castle Park. Doncaster along with Warriors and Bristol were one of only three clubs to complete a clean sweep of wins in the pool stages of the competition.
Bristol Rugby and Yorkshire Carnegie will do battle in an all-English tie in a repeat of last year's semi-final.
Title holders Leinster A remain on course to retain the trophy for a third consecutive year, but only if they can push past Rotherham Titans at Clifton Lane. The Irish province finished top of Pool Five with 24 points, while the Titans also finished in poll position in Pool Two, securing home advantage with the last kick of the match in round six.
British & Irish Cup quarter-finals, January 23/24/25
Doncaster Knights v Munster A
Worcester Warriors v Pontypridd
Bristol Rugby v Yorkshire Carnegie
Rotherham Titans v Leinster A