Leaders of the Screen Actors Guild (SAG) and the American Federation of Television and Radio Artists (AFTRA) had threatened to strike over pay demands.
But trade magazine Daily Variety reported on Tuesday that union leaders had no plans to ballot their members on industrial action, which they must do before going out on strike.
Contract talks between the unions and studio bosses began on Monday ahead of the deadline of 1 July, the day on which the current contract expires.
A strict news blackout has been imposed on the negotiations. But a union official told Daily Variety that a ballot was not on the cards.
The official added that even if talks collapsed and union bosses then decided to poll its members, there could not be a strike until August at the earliest.
Ballot
The official reportedly said the actors would first have to wait for the joint boards of the SAG and AFTRA to agree on a motion to ballot their 135,000 members.
That would be followed by a week to put the ballot paper together.
After that, union members would need time to receive and return the papers.
The possibility of a strike by actors has also seemed more and more remote since the Writers Guild of America (WGA) reached their own settlement with studios earlier this month.
The Screen Actors Guild (SAG), the larger of the unions, is still recovering from a six-month advertising strike by its members last year.
Both acting unions are refusing to publish specific details of their demands.
However, increased payments for residuals and initial payments for screen work are part of the negotiations.
The unions have previously said that they are fighting for the majority of their members who struggle to earn a decent living.
About half earn between $30,000 (£21,000) and $70,000 (£49,000) per year and rely on residual payments from TV and movie repeats.
The guilds also want studios to limit the number of productions filmed outside Southern California.
The talks are expected to last at least until the 30 June deadline and both sides anticipate they will remain tight-lipped until then.