PSG president Nasser Al-Khelaifi and sporting director Leonardo are in talks to sign the France international, who has less than a year to run on his contract.
Asked about Pogba last night, Pochettino said: "I do not give names ... The club works quietly and does good things."
On striker Kylian Mbappe's future, the Argentine was more open.
He also stated: "Has Mbappé told me that he will not extend? These are private conversations.
"But in no case has Kylian talked to me about it. Can we imagine him leaving for free? I do not use imagination."
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