The Mail on Sunday says with Aston Villa's hopes of playing in the Champions League next season virtually over, Barry is determined to get his dream move to Anfield this summer.
To help finance the deal, Benitez has done little to dissuade Italian giants Juventus from pursuing their interest in Alonso. Alonso has been in outstanding form this season but his personal relationship with Benitez remains strained.
"Alonso was not on the market last summer but Juventus came to us, so we had to talk," said Benitez.
"I think it will be the same situation this year. I don't want to sell him but when there is a window you have to talk to see what price is being considered."