The Premier League side took the lead after just seven minutes.Youssouf Mulumbu picked up the ball in space before firing into the top corner from 25 yards, despite a despairing hand from Karl Darlow.
David McGoldrick tried to respond immediately with two long range efforts but Ben Foster did well to deal with both.
On 17 minutes it was 2-0. Zoltan Gera's strike deceived Darlow, who could only parry in Shane Long's direction.
The striker was quickest to react and drew a trip from Danny Collins just as he was bearing down on goal. Long sent Darlow the wrong way to put The Baggies 2-0 up.
The rest of the half saw West Brom enjoy the majority of possession without showing many signs of endeavour, although Long did try an audacious lob from near the half way line. The ball was always heading over, however.
Just before half-time, trialist Franck Moussa had a chance to claw one back for The Reds, but he let the ball run too far across him and his shot veered wide.
Forest started the second half brighter, and a 52nd minute long-range shot from Lewis McGugan warmed the hands of Foster.
The Reds then made no fewer than six changes - Marcus Tudgay, Matt Derbyshire, Jonathan Greening, Adlene Guedioura, Radoslaw Majewski, and trialist Bader Al-Mutawa on for Moussa, McGugan, McGoldrick, Andy Reid, Dexter Blackstock and Guy Moussi.
On 65 minutes, Peter Odemwingie fired just over from distance.
Forest continued to make changes over the course of the half, with Jamaal Lascelles coming on for Collins, Brendan Moloney replacing Greg Halford and trialst Andy Taylor swapping with Dan Harding.
On 78 minutes, Daniel Ayala did well to cope with pace of Odemwingie down the left to deny the striker a one-on-one with Darlow. Moments later, he was warmly applauded as youngster Matt Regan took his place.
Darlow's concentration was tested on 84 minutes when he got a strong left hand to Yassine El Ghannasy's shot.
Guedioura had the last meaningful kick of an otherwise-dour half, but his speculative drive flew well over and the game ended 0-2.
Forest: Darlow, Halford (Moloney 71'), Ayala (Regan 79'), Collins (Lascelles 64'), Harding (Taylor 74'), Moussa (Al-Mutawa 55'), McGugan (Guedioura 55'), Moussi Greening 55'), Reid (Derbyshire 55'), McGoldrick (Majewski 55'), Blackstock (Tudgay 55').
West Brom: Foster, Reid (Jara 69'), Olsson(c) (Dawson 62'), Yacob (Hurst 81'), Ridgewell (Jones 46'), Morrison (Ghannasy 66'), Long (Fortune 66'), Mulumbu (Thorne 82'), Gera (Brunt 69'), McAuley (Tamas 62'), Odemwingie.
Scorer: Mulumbu 7', Long (pen) 18'
Referee: David Coote
Attendance: 6,543 (Away: 480)