The next part of the trial is scheduled for July 14.
- I want to give my testimony later.
I need time to prepare, she says according to Reuters, which is in place in the courtroom.
Griner was arrested on February 17 at an airport in Chimki, outside Moscow, after Russian authorities said they had found e-cigarettes with traces of cannabis oil.
The American basketball star's detention has been extended on several occasions, most recently until December 20.
On Monday, a letter from Griner was delivered to US President Joe Biden.
Most of the letter is said to be private, but Griner's representatives have published some passages of the handwritten letter.
"I am sitting here in a Russian prison, alone with my thoughts and without the protection that my wife, family, friends, Olympic shirt or other achievements provide, I am terrified that I will stay here forever," writes Griner.
Joe Biden also spoke this week with Griner's wife and guaranteed that he is working to get her released as soon as possible, according to the White House.