The hearing is essentially procedural - about how Gershkovich should be detained as he awaits trial, not about the substance of the charges.
A Moscow court next week will hear an appeal by Gershkovich's legal team against a ruling that he be held in pre-trial detention at Moscow's Lefortovo prison until at least May 29.
Russia has presented no evidence to support the case against Gershkovich, which is proceeding in secret.
The Kremlin said Gershkovich had been carrying out espionage "under the cover" of journalism.
US Ambassador to the UN Thomas-Greenfield said on Wednesday she had spoken with her Russian counterpart Nebenzia to demand the immediate release of Wall Street Journal reporter Evan Gershkovich.
Gershkovich has been charged with espionage, in a move that human rights organizations are decrying and the Biden administration is fighting.
The Russian security services said in a statement it had opened a criminal case against Evan Gershkovich for suspected espionage.