The lawyer representing the men, Rob Stary, told ABC radio that the suspects were pressing for the right to pray together.
"They just want to be dealt with in the same way as other remand prisoners," Mr Stary said.
The men are being held in solitary confinement at a maximum security prison in south-eastern Victoria and according to Mr Stary started refusing food this week.
"They're not charged with any offence of violence. They're charged with being members of an unnamed and unspecified organisation," Mr Stary said.
The 10 are among 18 suspects arrested in Sydney and Melbourne in November and are awaiting trial on charges of being members of a terrorist organisation.
One of the suspects, Muslim cleric Abdul Nacer Benbrika, 46, was also charged with directing a terrorist organisation.
Victorian Corrections Commissioner Kelvin Anderson said officials had done everything they could to make sure the men's religious needs were met.
“Prison authorities have worked closely with Muslim leaders so alleged terrorism suspects have special food, prayer times and places to pray," he said in a statement today.
"Individuals charged with terrorism offences have been separated from each other for security reasons. No religious festival could ever have priority over our risk assessment arrangements,” he added.
Commissioner Anderson also said officials would not be swayed by the hunger strike and would not compromise public safety.
Mr Stary said the men were prepared to refuse food indefinitely and he was concerned about their well-being.
"They're unconvicted prisoners and yet they're in the state's maximum-security unit," he said.
The men, who have been remanded in custody, are due to reappear in the Melbourne Magistrates Court for committal mention on April 11.