Instead, Mr Musk took questions from YouTube vlogger and journalist Galileo Russell who was listening to the call.
The raw numbers reflected Tesla's efforts to ramp up production over the quarter: Net loss widened to a record $784.6 million for the quarter, but revenue rose to $3.41 billion, outdoing analysts' estimates.
He also said it would not be produced at Tesla's main factory in Fremont, California.
The matter of Tesla's cash position continues to be an issue of debate, as some on Wall Street have speculated that the company could run out of money before it sees significant sales help from the Model 3.
To achieve profitability, Tesla will have to reverse what today amounts to a $22,584 pre-tax loss per vehicle built by the Silicon Valley company. The cash burn could put pressure on the company to borrow more or sell additional shares to raise more cash. But until then, Tesla will have to address the production losses for the Model 3.
Yet despite Musk's sometimes curt handling of the phone call he remained positive that 2018 would finally be the year that Tesla makes a profit.
"Even at this stage of the ramp, Model 3 is already on the cusp of becoming the best-selling mid-sized premium sedan in the United States, and our deliveries continue to increase", Musk and Tesla Chief Financial Officer Deepak Ahuja wrote in a letter to investors.
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The company's goal was to be cranking out 5,000 Model 3 vehicles weekly in about two months.
Speaking about Tesla's increasing cash flow problem, he said: "I'm feeling quite confident about hitting positive cash flow in Q3".
In a Twitter post from March 2017, Tesla's head honcho made the announcement about plans to roll out a Model Y, saying the smaller electric crossover would arrive "in a few years". The Fremont factory was shut down for four or five days last month to clear production bottlenecks, Tesla said.
"Yes, excessive automation at Tesla was a mistake", Musk tweeted at the time. "There's going to be a lot of barnacle removal". Despite where it will be constructed, the Model Y "will be an assembling transformation", said Musk.
The continued struggle to ramp up production comes as Tesla is facing a federal investigation into a recent fatal crash involving Autopilot, its driver assistance system, and the voluntary recall of 123,000 Model S sedans announced last week. Revenue grew by 26 percent from a year ago to $3.4 billion.
Tesla gave the update on the Model 3 as part of its first-quarter earnings report, which came out after the close of trading Wednesday.
The company said it will reduce capital spending for 2018 from $3.4 billion to $3 billion. It said net reservations for the Model 3, including configured orders not yet delivered, exceeded 450,000 at the end of the first quarter.