The Turnbull government has all but given up on getting its building industry watchdog laws through the Senate, meaning it could have its early election trigger in place by the end of this week.

Parliament will resume on Monday for three weeks of special sittings, culminating with the federal budget.

While the lower house is scheduled to sit only on Monday and Tuesday, the Senate will sit until it has dealt with the government's Australian Building and Construction Commission legislation.

But multiple senior government sources now concede there is next to no chance the bill will get through.