To view this video please enable JavaScript, and consider upgrading to a web browser that supports HTML5 video
The Reds have turned down a £90m offer from the Spanish giants for their star playmaker and are adamant he will not be sold for any price.
But, with Coutinho understood to be eager to make the switch, Sherwood says Liverpool will eventually have no choice but to cave in and do a deal with Barca.
"He goes. No danger, he goes," said the former Aston Villa and Tottenham boss Sherwood, speaking on the Alan Brazil Sports Breakfast.