A much-anticipated drawing for freelance dockworker positions — jobs that could lead to lucrative union positions down the road — appeared to be back on Tuesday, despite objections by union officials that the effort had been botched.

The actual drawing should begin in a couple of days, an official said Tuesday.

“Moving forward,” said a text from Mondo Porras, vice president of the International Longshore and Warehouse Union, Local 13 that represents about 7,000 dockworkers.

• RELATED: Drawing for L.A. and Long Beach port jobs ordered to restart after abrupt suspension

The process had been set to begin a day earlier, but local union officials refused to participate amid concerns that many of the mail submissions never got into the drawing.

After the ILWU local filed a complaint about irregularities, an arbitrator that handles disputes between the union and its employer, the Pacific Maritime Association, intervened late Monday, ordering the count to proceed for now.

But, Porras said, the union has appealed that order and the appeal is set to be heard Feb. 14.

He said the union was motivated by members who last week voted to stop the count after a “large number of cards were returned to sender,” he said.

• RELATED: Dockworker lottery is ‘false dream,’ says longshore workers’ union leader

Most of those cards, known as “interest cards,” are referral forms given to union members and officials that generally are then submitted by friends and family members of union workers. Hopefuls fortunate enough to get a referral stand a much better chance of being selected.

“Process is going,” PMA spokesman Wade Gates said in an email.

“Counting and verifying first,” Gates said. “The actual drawing may not start for a couple of days.”

The rare drawing for the jobs at the Los Angeles and Long Beach ports has drawn widespread interest. An estimated 80,000 entries will be counted and verified by InterOptimis, a business-services company based in Moorpark.

The winners will be offered part-time work as “casuals,” who fill in shifts when union workers are not available. The possibility of moving on to a full-time union position — one that can net more than $100,000 a year and get top-of-the line health insurance — emerges as the workers gain more seniority.

Considered among the best blue-collar jobs in country, the jobs aren’t easy to come by. Only the first 2,400 names picked during this lottery will be screened to become casuals. The rest will be called in sequential order on an as-needed basis.

The last time the union and PMA held a drawing in the Los Angeles area was in 2004 and many of those casuals are still waiting for a shot at a regular union job.