Berahino has impressed for West Brom recently and scored the winning goal against Manchester United last weekend.
The England Under 21 international’s current contract is set to expire at the end of the season.
“It is very important for Saido and for the club because he doesn’t need speculation starting,” McAuley told the Express & Star.
“He doesn’t want anything that will make him take his eye off the ball.
“I’m sure there is a lot of stuff going on behind the scenes to get that sorted, and the sooner it’s done the better.”
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.