Ba has been on top form for the Magpies this season, scoring 11 goals to add to the 16 he bagged last term. Toon boss Alan Pardew admitted on Thursday that Ba would be sold if he did not remove the ?7.5million release clause in his contract.
"I like Demba Ba, yes," Wenger said ahead of his team's match against Newcastle. "I don't think [this] is the right place to speak about that, because he plays against us. I wouldn't like to put Newcastle or us or him in an uncomfortable position. If you ask me 'do we sign Demba Ba?' I say no."
Wenger has been linked with a host of strikers as they try to cement a top-four finish in the second half of the season. Top of Wenger's to-do list remains securing the future of Theo Walcott, however.
Walcott's contract expires next summer and he has so far refused to pen a new deal, but Wenger insists he is confident about keeping the forward, who has played in his favoured position of striker in the Gunners' last two games.
"Yes [talks are ongoing]. Yes [I remain optimistic]," Wenger said.
Wenger refused to comment on claims he is interested in Barcelona's David Villa, but he was more forthcoming on the possibility of re-signing Thierry Henry for a second loan spell.
Wenger earlier this week played down reports he would sign the New York Red Bulls striker during the Major League Soccer off-season, but he appeared open to the prospect of re-signing the Gunners' record scorer, who has been training with the Londoners for the last few weeks.
"I've not lost interest in him," Wenger said. "He's still coming today (Friday) to practice with us. We have a close relationship. I think he has had a second spell at the club that was very successful. You have to be cautious that it's not one time too many. I have not completely (ruled out a second loan spell) but I haven't spoken about it with him at all."
Wenger confirmed that Olivier Giroud and Tomas Rosicky have overcome illness and are available for the home game against Newcastle.