The resolution of the dispute would pave the way for removal of the toll plaza at Sirhaul on the expressway.
The consent order, being finalized by the parties involved, would be submitted before the court tomorrow for its recording in judicial records, one of the lawyers told Justice Manmohan Singh.
The court had on February 12 granted a last opportunity to the parties to settle the dispute by today or be ready to argue their case. It has now fixed the hearing for tomorrow.
Earlier, senior advocate Harish Salve, appearing for Infrastructure Development Finance Company (IDFC), the lead financier for the toll project of DGSCL, and the counsel for National Highway Authorities (NHAI) had said there was no scope left for the settlement.
They had sought further hearing in the case.
Besides IDFC and NHAI, MCD and Haryana have also joined as parties.
NHAI and DGSCL have been embroiled in a bitter legal battle ever since the former issued a termination notice to the latter over frequent complaints of inordinate delays at the toll plaza.
NHAI also found irregularities in the manner in which the DGSCL raised loans from IDFC and other financial institutions.
The court had in the past been informed that the earlier proposal of constructing a single toll plaza at 61 km was not accepted by the government and it will now be restricted to a single toll plaza at 42 km.
IDFC had also submitted a proposal that the senior lenders were agreeable to substituting DGSCL, the concessionaire, as NHAI had earlier recognized a debt of Rs 1,275 crore on the latter.
The fresh proposal also stated that since DGSCL had in a letter on January 10 communicated its intention to withdraw all claims against NHAI, "the senior lenders are agreeable to taking on the obligations set out in the MoU dated September 18, 2009".
The court was also informed about the broad, in-principle understanding reached between IDFC and the DGSCL in connection with the project.