Benfica midfielder Fernandes is reportedly close to joining Tottenham on an 18-month loan deal, while Spurs star Eriksen has emerged as a target for Serie A outfit Inter in January.
Out of contract at the end of the season, Eriksen has been linked to a move to Real Madrid and Inter, who denied contact with Tottenham prior to their draw against Atalanta.
Mourinho, however, did not want to talk about transfers following Tottenham's 1-0 defeat at home to runaway Premier League leaders Liverpool on Saturday.
"It's the last thing I want to do after this performance is talk about [new] players," Mourinho told reporters. I think it's a way to show respect to these guys is to not talk about new players.
"Can we say [Japhet] Tanganga is a new player? Can we say that? He never played a match for Tottenham in the Premier League. Today he played and today he proved that he can play for us.
It's a pity that he's not a striker, it's a pity that he's not a midfield player, but he's one more player that we have. So I think [Sadio] Mane and [Mohamed] Salah, they know who Tanganga is. They didn't know before the game. I think when they saw the list they wondered where this guy plays. I think now they know.
"The kid was really good so instead of speaking, or crying about Harry Kane and [Moussa] Sissoko and [Hugo] Lloris and Ben Davies, let's smile with Tanganga."
Tottenham are eighth in the Premier League and four points adrift of fourth-placed Chelsea after three matches without a win.