As of right now, I gotta think these two are by far the top two contenders:

Burrows has points in all 10 Canucks games this January, scoring 17 points in that span, including 13 goals and 2 hat tricks.  He's also +12 over those 10 games.  The Canucks have so far gone 7-2-1 during the month.

Ovechkin has points in 9 out of 11 games for the caps this January, scoring 20 points in that span, including 7 goals but 0 hat tricks.  He's also +11 over those 11 games.  The Caps have so far gone 9-2-0 over the month.

Hank would be in the running too, since I believe his 21 points in the month are better than anyone.  But he hasn't scored points in every game like Burr, doesn't have as many goals as Burr, and his +/- is lower at +10.  Plus he was already Player of the Month in December, so I place him at third in the race.

Brodeur has 3 shutouts this month and set the new record for all-time shutouts in the process.  However, with a very pedestrian 6-5 record so far in January, I don't think he deserves the monthly honour despite these impressive achievements.

Just one week left!  Who do you think will get it?  Gotta say, my money is on Ovie, because it seems much more likely for him to maintain his pace than for Burr, based on past achievement.