According to the Sky News Arabia broadcaster, the parties reached consensus on the majority of disputable issues.
The TMC and the opposition are going to announce details of the final agreement within 24 hours, the Al-Hadath broadcaster reported.
On Monday, the TMC and the Forces for the Declaration of Freedom and Change agreed on the structure of transitional bodies.
Sudan experienced a military coup on April 11 following four months of anti-government protests. President Omar Bashir, who had been in power for 30 years, was overthrown and then imprisoned. The TMC came to power and pledged to hold a new election within two years. However, the opposition did not approve this plan and called on the TMC to immediately hand over power to civilian structures.