The rock bottom Baggies need a near miracle to survive in the top flight, being nine points from safety with just five games to play.
Should relegation occur, Mowbray hopes the players he wants to keep will stay, believing they 'owe the football club'.
Skipper Jonathan Greening has already pledged to stay and Mowbray hopes others will show the same loyalty.
The Baggies boss said: "The bottom line is it isn't just the manager who has taken the team down, it isn't just the players who have taken the team down. If we go down, we are all hopefully going to gain from the experience.
Paramount"It is a lot more complicated in that modern day footballers are all governed by their advisors as well and what they think is best for them, and what becomes paramount is your relationship with the players really.
"My discussion point with most of them would be if there are players I want to keep, and we get bids for them, they owe the football club, they owe the fans and their team-mates another crack at it.
"Let's all try to get back to the Premier League because if we do that, I think we will be so much better for it.
"We will have had the experience of this season and that is a pretty strong, powerful message. They should have a responsibility to feel that.
"I don't want to ram that home. It comes from within. You have either got that or you haven't. You've got to look deep into these players and see what drives and motivates them."
Mowbray added he will not bow to transfer requests if he feels players are only claiming to want a move because of advice from their advisors.
Bottom lineHe said: "The bottom line is, there is someone saying they are unhappy and there is being really unhappy, and you find them out.
"It's okay someone coming in and saying 'I want to go'. It doesn't mean he is unhappy. That means his agent has told him, 'Go and see the gaffer and tell him you want to go'.
"I've got to dig deeper than that and have the conversations with them and let's see how unhappy they are.
"If they are not going and it becomes an issue, and they don't want to play, then it's no problem to me. They will come in and train every day.
"That is not being hardline. That is just life. They are under contract and we all sign contracts in good faith."