Despite Darren Moore working wonders during his caretaker stint in charge, the Baggies have been tipped to bring in a new permanent manager if they drop down a division.
The Bees boss is wary of departing Griffin Park, however, having finished six points adrift of a playoff place this season and signed a contract extension earlier in the year.
"[Brentford] is a good football club and I'm enjoying my time here," he told West London Sport. "On the playing side, I have no idea if we will lose players in the summer, but they have developed as young men individually and as a group.
"It's a privilege to be their head coach. If you leave it's not always rosy and the grass isn't always greener. There has to be a good reason to leave rather than moving on all the time.
"There's always going to be speculation about managers or players when a side does well, particularly when it's a club our size. But there is a long-term plan at this club and I'm acutely aware of what I have got here and that is always a big factor."
West Brom, who could be relegated as early as Tuesday night, last competed in the second tier during the 2009-10 campaign.