A plurality of Americans supports the sort of late-pregnancy abortion bans that have roiled the political landscape by winning approval in a number of states, most recently in Texas, a new Wall Street Journal/NBC News poll finds.

The support for state bans 20 weeks after an egg's fertilization comes amid continued evidence that most Americans favor some restrictions on abortion, with far fewer saying the procedure should be legal or illegal in all cases.

In the new survey of 1,000 Americans, 44% said they would support a ban in their state on abortions 20 weeks postfertilization, compared with 37% who would oppose such a ban.

Overall, 28% of respondents say abortion should be legal under all circumstances, while 21% say it should be legal most of the time. The poll found that 11% say abortion should be illegal without exceptions, while 37% say it should be illegal with some exceptions.

Nebraska in 2010 became the first state to pass a law banning abortion 20 weeks after fertilization. That mark is generally equivalent to 22 weeks of pregnancy, which is timed from the woman's last menstrual period.