Democrat Martin Heinrich continues to hold onto a slim lead in New Mexico’s 1st Congressional District, yet another poll is showing. Blogger Joe Monahan says in today’s “New Mexico Politics with Joe Monahan” that an automated poll conducted for him this week gives Heinrich 53 percent to Republican challenger Darren White’s 44 percent.

The only bad news for Heinrich is that the poll of 418 likely voters, conducted by the Albuquerque firm Positive Contacts Consulting, found a small uptick for White. In another Monahan-commissioned poll last week, White had just under 41 percent. The latest automated telephone poll had a margin of error of nearly 5 percent.

As a stand-alone snapshot of the race, this week’s poll may not be particularly significant. More important is that it reflects the same approximate standings as Monahan’s poll last week (52-41), as well as as those of a late-August poll conducted for the Washington, D.C., newspaper Roll Call, which gave Heinrich a 51-46 percent advantage.

The Albuquerque Journal poll earlier this month gave Heinrich a smaller lead, 43-41 percent, with 16 percent undecided.

Heinrich and his supporters know better than to celebrate, however. The last Dem to try for CD1, Patricia Madrid, enjoyed a comfortable lead in the last weeks of her race against Republican incumbent Rep. Heather Wilson, only to lose by fewer than 1,000 votes.