A report in The Sun made the suggestion yesterday, barely two months into Mourinho's reign as Spurs manager.
And after making a winning return following elbow surgery, Lloris said following victory over Norwich City: "I can tell you that it's completely wrong.
“The atmosphere is great, we can feel all the players involved and ready to fight for the club, the new manager and his staff.
“We cannot control everything you [the media] say on the outside but I can confirm the atmosphere is very positive."
The goalkeeper insisted the players are all fighting for Mourinho.
"To be honest I'm the kind of guy who looks forward and I just want to be focussed on today, so it's not the right moment to talk about [Pochettino]," Lloris said.
"You know how close I am with Mauricio but at the same time I'm involved 100 percent and I will give my best with Jose Mourinho.
"It's the minimum you can give to the manager. In the end, we all want the success for the club.
"We know it's not the best season of the last five years but we need to stick together, carry on and get the maximum points possible.
"We know it's not easy [for a manager] to come in the middle of the season. Like all my teammates, I have such a deep respect for what Mauricio Pochettino has done for the club and his staff.
"He's one of the best managers in the world and we wish him all the best. He's a fantastic man and hopefully we'll see him soon in a new club.
"It's a great opportunity to work under Jose Mourinho. He's one of the best and most successful managers of the last 20 years and it's a great opportunity to work under him but it all depends on the players. The energy is from the players, the focus, the concentration, the performance. He's here to help us but we need to give everything for him."