Alonso is wanted by Real Madrid and seems keen on a move to the Bernabeu, but Benitez is refusing to give in to Real and is determined to keep the 27-year-old at Anfield.
The Reds squad were greeted by a fanatical reception when they arrived in Bangkok for their pre-season tour and, at a press conference, a coy Benitez played down talk Alonso will soon be joining Real while aiming veiled criticism at the Spanish media for their coverage of the possible transfer.
"Xabi Alonso is here with us so he will be available," said Benitez when asked about the player's future.
"One thing that you need to understand is the Spanish press," he added.
"The future of Xabi Alonso is to enjoy here with the people of Thailand and the weather and the game. The next week he will be here."