Jeb Bush, former governor of Florida, center, speaks to reporters after an event at a Pizza Ranch restaurant in Cedar Rapids, Iowa, on March 7. (Daniel Acker/Bloomberg)

For months, poll after poll has shown many GOP voters saying "thanks but no thanks" to Jeb Bush. Well, that's showing signs of changing.

A new poll from NBC News and the Wall Street Journal shows 27 percent of likely Republican primary voters say they can't see themselves backing Bush.

That's down significantly, from 42 percent in March when we first spotlighted Bush's problem. It also puts Bush in better company in the GOP primary. Many more likely GOP voters say they can't see themselves backing someone like Chris Christie (50 percent) or Mike Huckabee (39). Bush is now much closer to the rest of the field, including Rand Paul (32 percent), Rick Perry (34) and Ted Cruz (28).

But it gets better for Bush. That's because the percentage of likely GOP voters who say they could see themselves voting for Bush is 70 percent. That's up from 49 percent in March, and it ranks second behind only Marco Rubio (74).

Similarly, another poll released Tuesday asked a similar question and also showed movement. The New York Times/CBS News poll, which in March showed 29 percent of registered Republicans wouldn't vote for Bush, now pegs that number at 23 percent -- again, pretty similar to the rest of the field. (The same poll, though, showed the number of people who would consider voting for Bush also dropping, from 53 percent to 46 percent.)

These are just two polls, of course, but surveys have long shown significant GOP opposition to Bush. Bloomberg last month showed 42 percent of Republicans and independents said they wouldn't vote for Bush. (This is a different universe of voters, though, bringing in independents who might reliably vote Democratic).

But the new numbers do suggest that the early opposition to Bush in GOP ranks might have been a little soft.

Bush is hardly out of the woods yet, of course; negative views of him still far outpace positive ones (including 36-23 in the NBC/WSJ poll) and have done so in basically every poll we've seen. He'll need to turn that around.

But his campaign will certainly be heartened to know that as many as four in 10 GOP primary voters are no longer off the table for them.

Update 7:26 a.m.: Well, you win some, you lose some. A new Quinninpiac poll of Iowa released this morning has considerably less good news for Bush. He's in seventh place among likely caucus-goers, at just 5 percent, and 25 percent of voters say they wouldn't consider voting for him. While not that different than the numbers described above, it's basically unchanged from the same poll in February (26 percent), and Bush ranks No. 1 when it comes to who people wouldn't vote for -- ahead of Christie, even.