The Writers Guild of America’s tentative deal will take another step toward ratification when ballots are mailed out Tuesday.

They will be sent to about 8,000 members of WGA West without pro or con statements which would have required at least 25 signatures for inclusion. About 3,000 WGA East ballots were mailed last week.

The WGA has set June 4 as the deadline for returning the ballots. It will also hold ratification meetings in Beverly Hills and Gotham on that date, before announcing the results the next day.

Members are expected to vote overwhelmingly in support of the contract, which was endorsed unanimously by the WGA’s negotiating team, the WGAW board and the WGAE Council. No significant opposition has yet emerged to the tentative deal, which will hike scribes’ pay by $41 million over three years.

An informational meeting last week in Beverly Hills drew 50 members, compared with more than 700 who showed up in early March for a meeting at the Sheraton Universal.

WGA leaders have stressed that they believe that the companies’ final offer was as good as they could have achieved by striking and emphasized the pact’s long-term gains from still-developing sectors such as movies-on-demand.