A new poll says the Democrat challenging Mayor Bloomberg has narrowed the gap a few points.

The Quinnipiac University survey finds William Thompson Jr. 12 points behind Bloomberg, with one day of campaigning left before Election Day.

Bloomberg began the day greeting Staten Island ferry riders. Thompson planned to campaign with seniors in Chinatown later Monday.

The poll found Bloomberg with 50 percent and Thompson with 38 percent.

That’s a closer race than Quinnipiac’s last poll a week ago, which had Bloomberg leading by 18 percent. Other polls have had him up by 15 to 16 points.

The new survey questioned 1,360 likely voters and had a plus or minus 2.7 percentage point margin of error.