QPR keeper Chris Day made fine saves from Ian Westlake, Tommy Miller, Jason De Vos and Darren Bent before De Vos scored from Jim Magilton's corner.
Bent levelled from Currie's cross and the latter netted with a deflected shot from 22 yards, before Shefki Kuqi volleyed home to seal victory.
Ipswich boss Joe Royle:
"Darren Currie had a terrific impact on the game. I have been aware of him for some years, and it came to our notice before the Brighton game that he was in the best form of his career.
"He has quality: he loves the ball, and the ball loves him."
"We upped the pace in the second half. They were penned in and it was a question of how many we were going to score."
QPR: Day, Bignot, Shittu, Santos, Padula, Miller,
Bean (Rowlands 75), Bircham (McLeod 85),
Ainsworth (Cureton 75), Gallen, Furlong. Subs Not Used: Cole, Branco.
Goals: Furlong 27, 30.
Ipswich: Davis, Diallo (Richards 45), De Vos, Naylor, Wilnis,
Miller, Magilton, Horlock (Currie 55), Westlake, Bent, Kuqi.
Subs Not Used: Supple, Counago, Bowditch.
Booked: Horlock.
Goals: De Vos 25, Bent 58, Currie 72, Kuqi 77.
Att: 18,231
Ref: C Boyeson (E Yorkshire).