The centre-back's future has been the subject of speculation for much of the summer after he enjoyed a magnificent 2008/9 campaign.
Liverpool have been monitoring Turner's situation and Brown has admitted it could be difficult to stop the 25-year-old moving to Anfield.
However, the Tigers manager has made it clear that he will try his hardest to hold onto Turner, who produced another impressive display in Saturday's 2-1 defeat to Chelsea.
"You do desperately try to hang on to your better players," said Brown.
"People have classed the price tag on Michael Turner as ridiculous at £10 million. I think he is worth that to us, it might not be worth that to somebody else, but he is to us.
"As far as we are concerned that is how big a player he is for us. Michael played 38 games for us last year and never missed a minute. He is being courted by bigger clubs because of the way he can defend.
"Against Chelsea there was another example of that, but not just from him but also from Anthony Gardner and Andy Dawson. I thought it was a good collective, defensive performance from us."