A legal committee and a human rights committee will be established to review the constitution and then implement changes, says spokesperson Obaida Arnaout.
The country's constitution does not currently specify Islam as the state religion. On Wednesday, the new government promised that all religious communities will be allowed to exist and operate in Syria.
On Tuesday, Mohammed al-Bashir, who previously led the Islamist state apparatus in rebel-controlled Idlib, was appointed Prime Minister of Syria for a transitional period until March 1.
The rebels, led by the Islamist movement Hayat Tahrir al-Sham (HTS), took power in Syria on Sunday in an offensive that overthrew the long-standing rule of the al-Assad family. Bashar al-Assad has fled to Russia, where he and his family have been granted asylum.
The G7 countries stated on Thursday that they will support the transition to an "inclusive" Syrian government after Bashar al-Assad's time in power.
They are ready to support a transition process that leads to a "credible, inclusive and non-sectarian governance that ensures respect for the rule of law, universal human rights, including women's rights and the protection of all Syrians", according to a statement.
More than one million Syrians, mostly women and children, have been displaced from their homes around the country since the fighting escalated two weeks ago, according to the UN's disaster relief organization Ocha.
