The White House press secretary Karoline Leavitt writes on X that "President Trump has not drawn the picture and not signed the card either".
The post comes after a committee in the US House of Representatives made public the letter where Trump congratulated Epstein on his birthday.
The birthday card itself is designed as a female body where Trump's signature is placed under the waist, which makes the signature can be interpreted as the woman's pubic hair.
Several American media, such as The Wall Street Journal and The New York Times, have compared the signature with previous signatures by Donald Trump and established that it is like Trump's own.
The letter is supposed to be a part of the congratulations that Epstein received on his 50th birthday in 2003, where friends and business colleagues congratulated him.
Billionaire Jeffrey Epstein was found dead in his prison cell in 2019 while awaiting trial. In a previous case, Epstein admitted to sex crimes in the state of Florida in 2007.