The Baggies had rejected two bids from the Hoops for the Nigeria international, but a third bid appears to have been accepted.
Odemwingie, who arrived in London earlier today, insists that he will depart West Brom on good terms.
"Of course I love West Brom and I always will. But I'm very optimistic that I will join QPR, it's a new chapter in my life," he told Sky Sports News.
"I am optimistic. A few good players have arrived here [at Loftus Road] and I am happy with the trust Harry Redknapp has in me.
"The last few results have given us a chance to stay up. I don't think the owners will bring in so many players if they don't think it will happen."
Odemwingie has scored 30 goals in 80 Premier League appearances for West Brom.