The Celtic striker, who has scored 19 goals this season, has been linked with a series of big-money clubs since arriving from Fulham in the summer.
However, the French Under-21 striker said: “I never have pressure. There is no pressure on me at all.
“I am in Paris this week with my family and friends and I will be switched off from football for a little while.
“Then I am going to Dubai to meet up with my team-mates and when I am there I will be concentrating on the sessions with the team and what comes next in the season.
“I am not the type of player who loses focus easily. I don’t pay attention to who is saying what about me because it doesn’t matter.
“I just pay attention to what the manager wants from me and on doing my very best for Celtic.
“I have enjoyed my football this season. It has been a good start for me, but I never worry about what is next.
“I am loving playing for Celtic and I want to make sure that we prove ourselves to be the best team in the country this season.”
The Hoops are running away with the title, leading 19 points with a game in hand at the top, and the Betfred League Cup has already been claimed after the 3-0 victory over Aberdeen.
They kick off their Scottish Cup campaign against Albion Rovers on January 22 as they aim for a domestic clean sweep.
Laidback Dembele, 20, added: “We have to keep proving ourselves. I think everyone wants to be the team who beats Celtic.
“No-one has beaten us in Scotland this season and that means that everyone wants to be the first team to do that.
“But we are hungry, too. We don’t want to relax. We can see that there is a big gap at the top of the table and we want to keep it that way.
“No-one knows what might happen as the season goes on. We might lose a game, but it won’t be because we didn’t want it enough.
“We will be giving our best in every game.”
has signed a limited number of copies of That Season in Paradise – Ten Months of Celtic Heaven
, the authentic book on our 66-67 season. Get your signed copy from www.cqnbookstore.com