Wildenstein, a 70-year-old Franco-American, is the heir of three generations of art dealers and racehorse breeders.
French tax authorities have demanded a tax adjustment of more than 550 million euros from the inheritors of the family fortune, claiming that the money was concealed in tax havens after the deaths of his father Daniel in 2001 and his brother Alec in 2008.
The trial opened on Monday but Wildenstein's lawyer, Hervé Termime, argued that the adjustment demand meant it could not go ahead because it amounted to two trials for the same alleged offence.
The court ruled on Wednesday that the Cour de Cassation appeals court should decide whether the question should go to the constitutional court.
The next hearing was wet for 4 May.
Wildesnstein's nephew Alec Junior and his former sister-in-law Liouba are among the co-accused.
The missing money came to light when the second wives and widows of Daniel and Alec fell out with the rest of the family over their share of the inheritance and accused Guy of hiding it through trusts in tax havens.
Investigators started looking into the case in 2010 and demanded the tax adjustment in 2014.
Wildenstein argues that there was no legal obligation to report trust-held assets after his father's death.