The former striker has been discussing the visit of Newcastle United.
Newcastle beat Norwich City 6-2 at St James' Park on Sunday afternoon to give themselves a much-needed shot in the arm ahead of their visit to the Stadium of Light.
Quinn told Sky Sports: "Sunderland have to dig deep now. Sam will be required to get them into a different place, mentally.
"Newcastle are already in a great place going into it and Sunderland will have to apply themselves to get there.
"Derby games are the sort of place where everything gets thrown out of the window and it certainly won't be a place for the faint hearted. But, if you were Sunderland, you'd be worried after today's result."
The biggest inspiration for Big Sam in that regard is Dick Advocaaat, who made some of his Sunderland players look word class during their successful last-ditch bid to beat the drop last season.
Against Newcastle, specifically, Advocaat motivated his Sunderland side to produce exactly what they needed.
Allardyce will no doubt set his side up to be compact, defensive and clinical in the air and from set-pieces. Newcastle, meanwhile, won't have the home advantage that spurred them on to their 6-2 win over Norwich.
It should be another fascinating derby.