Barca are expected to move for the Liverpool midfielder in January.
However, Valverde would only say: "If there is any interest in any player, whether by Coutinho or whoever it was, I would like it not to be broadcast live."
At their pre-match media conference for the Copa tie with Murcia, Valverde was also asked about the form of Luis Suarez.
"Tomorrow he'll have a rest and he'll do well. We have already discussed this. I would worry if he had no chances. When a player has them, and Luis usually has them in every game, I do not worry too much. We hope he continues in the same line."