House Democratic leaders still hope to put their big health care overhaul bill on the floor Friday or Saturday, but first they must allay the concerns of anti-abortion lawmakers in their own ranks.

House Majority Leader Steny H. Hoyer , D-Md., said Tuesday he plans to file the final version of the health care bill later in the day, paving the way for floor consideration at the end of this week.

“I’m hopeful it will be done by the end of the day,” Hoyer said.

“We’re still working on it,” he said of the abortion language. “I’m reasonably confident that we can get there.”

The overhaul legislation would, among other things, create a marketplace in each state where people without employer-sponsored health insurance could purchase policies from private insurers or the government.

Currently, the bill would allow abortions to be paid for only by revenue derived from individuals’ insurance premiums. Anti-abortion Democrats want language added that would specifically prohibit any federal funding of abortions, meaning that plans bought using government subsidies would not be able to cover the procedure.

Democratic leaders may consider extending existing federal abortion restrictions, known as the Hyde amendment, to the health care bill. The Hyde amendment, which is renewed annually as part of appropriations bills, prohibits federal funding of abortion except in cases of rape or incest or when a woman’s life is threatened by her pregnancy.

“There are limits to what language will be tolerated” by lawmakers who support abortion rights, said Rep. Gerald E. Connolly , D‑Va. But he said there was a “certain logic” to extending Hyde amendment limits to the health care overhaul bill “as long as Hyde is the law of the land.”