Wembley National Stadium Limited and contractor Multiplex were on the verge of settling their dispute about the stadium as Building went to press.
This week, for the second time, they called off a court appearance in an effort to negotiate an out-of-court settlement.
Under the deal WNSL is expected to pay Multiplex an additional £35m on condition it completes the stadium for next year's FA Cup final in May.
The cancellation of the court hearing on Tuesday morning, which follows a similar action two weeks ago, came as sources said an announcement was likely by the end of the week.
Multiplex made a statement to the Australian stock exchange confirming that “discussions in relation to a potential settlement between Multiplex and WNSL are progressing”.