A majority of Americans want the Supreme Court to strike down state bans on gay marriage, a new poll has found.

According to the Wall Street Journal/NBC News poll of 1,000 adults conducted April 26-30, 58 percent of respondents said they would favor the “Supreme Court deciding that gays have a constitutional right to marry, which would have the effect of legalizing gay marriage throughout the country,” while 37 percent said they were opposed.

Last week, the nation's highest court heard arguments in a case challenging bans in Ohio, Tennessee, Kentucky and Michigan. A ruling is expected in June.

(Related: Supreme Court justices appear divided on gay marriage.)

Pollsters also found a plurality (44%) of respondents don't believe the country has gone far enough to end discrimination based on sexual orientation and gender identity. Twenty percent said that the nation had gone too far.

The issue played out last month in Indiana, where its Republican governor was forced to ask lawmakers to “fix” a so-called religious freedom bill to include LGBT protections.