Duhon, who has been hampered by a sore lower back, will also sit out the final tilt of New York's five-game road trip in Cleveland on Sunday.
Wilson Chandler amassed 24 points and a career-high 12 boards for the Knicks, who won their third consecutive road game -- a feat the club hasn't accomplished since December of 2003 -- to move to 3-1 on their trek.
Al Harrington, Larry Hughes and David Lee each ended with 12 points in the win, with Lee adding 13 boards.
Mike Miller totaled 12 points and 11 boards in defeat, while Kevin Love donated a career-high four blocks to go with six points.
Gomes poured in a layup with 1:50 left to play, which pulled the Timberwolves within 94-89.
Robinson was fouled by Craig Smith on New York's next touch and hit both shots to make it 96-89 with 98 seconds left in the game.
Telfair nailed a long jumper with 44 ticks showing to cut Minnesota's deficit to five points, but the Knicks hit their free throws down the stretch to thwart any ideas of a comeback.
The Knicks opened a 25-19 lead after the first quarter, but the T'Wolves grabbed a 48-46 advantage at the break.
The teams traded baskets and the lead went back-and-forth in the third, before Robinson's 15-foot jumper, Jared Jeffries' free throw and Chandler's bank shot gave the Knicks a 70-65 advantage with just under 1 1/2 minutes left in the frame.
New York was still up five, 74-69, heading into the final 12 minutes.
Chandler's three-pointer and Hughes' free throw gave the Knicks a 10-point lead, 81-71, with just under eight minutes left in the fourth.
Gomes' three-pointer cut it to six points for the T'Wolves with about 2 1/2 minutes left in the game.