The Spaniard has guided the Baggies away from the relegation zone in recent weeks after replacing Steve Clarke back in January.
However, Mel is unsure whether the board will want him to remain at The Hawthorns when he holds talks with them at the end of the season.
"We have a meeting in the week that the season ends, and it's then that we'll talk," he is quoted as saying by Goal.com.
"We need to sit down, the chairman and myself, and we need to look at what he wants for the future. It really does depend on whether it will be with me."
West Brom's Premier League season continues on Sunday with a trip to Arsenal.