HARRISBURG — Pennsylvania’s counties pressed lawmakers and Gov. Tom Wolf to allow them to process mail-in ballots before Election Day in the battleground state as they consider the prospect of waiting until polls open to dig into what could be 3 million or more envelopes.

Meanwhile, Philadelphia on Tuesday opened seven satellite election offices — a sort-of one-stop shop for people to register and vote by mail-in ballot.

Allowing as many as 21 days to process mail-in ballots before Election Day has been the counties’ top election priority for months, a request backed by Wolf and his fellow Democrats.

But it remained stuck Tuesday in a wider dispute between the Democratic governor and the Republican-controlled Legislature amid a high-stakes presidential election and partisan lawsuits over how mail-in ballots should be collected and counted.

Demand is rising for mail-in ballots and could surpass 3 million, which is 10 times the amount in 2016’s presidential election. Registered Democrats are applying for mail-in ballots at a rate of nearly 3 to 1 over Republicans.

County officials say processing mail-in ballots before Election Day will speed up vote counting amid concerns that a presidential election result will hang in limbo for days on a drawn-out vote count in Pennsylvania. In a message on Twitter, the County Commissioners Association of Pennsylvania said “we don’t want Pennsylvania to become a national news story.”

Diane Ellis-Marseglia, chairman of Bucks County’s commissioners, estimated that processing ballots before Election Day would allow her county to tabulate them all within 12 to 15 hours after polls close. Otherwise, she said, it could take three days with election workers working around the clock.

In Delaware County, another heavily populated county outside Philadelphia, Councilwoman Christine Reuther said voters in the Democratic-leaning county are worried about rhetoric that Trump will have a large election night lead, based on the in-person vote, and then cry foul when the lead shrinks or disappears as mail-in ballots, primarily from Democrats, are counted in the ensuing hours and days.

The Legislature could head that off by allowing ballots to be processed before Election Day, Reuther said.

A Trump campaign spokeswoman, Thea McDonald, said that, if mail-in ballots are to be processed before Election Day, it must “be a transparent process with a poll watcher in the room to ensure all rules are followed.”

In Philadelphia, the city on Tuesday opened seven of 17 satellite election offices it plans, where people can register to vote, apply for a mail-in ballot, fill it out and submit it. Pennsylvania’s state Supreme Court, in a Sept. 17 decision, deemed such offices to be legal under current law, over opposition by Republicans and Trump’s campaign.

Trump, meanwhile, retweeted claims on Twitter on Tuesday by his son Eric and a campaign staffer that Trump campaign officials were being “blocked” or “kicked out” of the newly opened satellite election offices in Philadelphia.

However, election lawyers say there is no right in state law, even for a certified poll watcher, to observe inside an election office where someone is registering to vote, applying for a mail-in ballot or filling one out.

Poll watching is already being litigated by the Trump campaign, which has sued in federal court to invalidate a provision in state law that limits poll watchers to residents of that county.