Albion chairman Jeremy Peace has maintained the club are not looking to sell the 22-year-old, and his resolve has not been broken by Tottenham's opening offers.
"It's only a game of poker at the moment between (Tottenham chairman) Daniel Levy and Jeremy Peace," Redknapp said.
"Jeremy Peace holds all the aces in that situation because Tottenham are desperate for a striker - he's the one they've identified, so I think the deal will happen before the deadline.
"Everything's probably all done with the player behind the scenes. He probably has a good idea about where he's going to live, even.
GETTY
Harry Redknapp expects Saido Berahino to join Tottenham this summer
"All it is now is a game of bluff between the two chairmen, who are trying to get the best deal for their clubs.
"In this case, and in Everton's case with John Stones, the aces are held by the clubs with the players, because they are two players who are really wanted and they'll squeeze another million or two out of the deal, for sure.
"I think it's a good deal for both clubs and I don't think (West Brom boss) Tony Pulis is going to lose any sleep over losing him - he's got a few strikers at the club."
Invalid email
We use your sign-up to provide content in ways you've consented to and to improve our understanding of you. This may include adverts from us and 3rd parties based on our understanding. You can unsubscribe at any time. Read our Privacy Policy