He said stakeholders’ engagement to resolve issues in the best interests of its members had yet to yield any results.
Mr Musa stated that the suspension was decided at a meeting between representatives of the ministry and leaders of transport unions.
The e-call-up system on the Lekki-Epe corridor was billed to commence on August 1.
The deficit of N387.125 billion was projected to be funded by internal and external loans and bond issuance.
He appealed to motorists and other road users to cooperate with the state government to ensure seamless traffic flow during the period.
The demolition was carried out after a three-day removal notice had reportedly been issued to affected persons.