Vallverdu formed part of Murray's backroom staff until November, with the Scot retaining the services of Amelie Mauresmo as his head coach, but deciding not to continue his five-year relationship with Vallverdu.
The Venezuelan has since joined forces with Berdych and will be in the seventh seeds' box when he faces Murray.
Speaking ahead of Thursday's match, Murray asserted that Vallverdu's intimate knowledge of his game will be a key advantage for Berdych.
"Dani knows my game inside out. I would expect he would come up with a great game plan," Murray told the BBC.
"It should be perfect with how much time I've spent with Dani. He knows my game probably better than anyone."
He added: "I think it's a huge advantage. With the way Tomas has been playing, I would expect that he would go into the match probably as the slight favourite."
However, the 28-year-old insisted that it's his match-up with Berdych, not Vallverdu, that he is focused on.
"Maybe I'll find it weird on the day but it's just something that you deal with as a player," he said.
"My goal isn't to beat Dani; my goal is to beat Berdych. So I don't think about that in the next few days."