Dele Alli has been linked with some of Europe's top clubs such as Real Madrid, PSG and Manchester City.
Meanwhile, Dier has recently been linked with a moves to Chelsea and Bayern Munich and was allegedly unhappy at the propect of falling out of favour aty White Hart Lane.
However, Pochettino dismissed these links and said it would "make no sense" to sell the pair.
"It makes no sense because it is impossible for anyone to sign them," the Spurs boss said.
"They are players who are in our plans today, tomorrow and for the future.
"We are very calm because they all extended their contracts four or five months ago. There are plenty of pictures".