Wood, the Aviva Premiership player of the year, has been sleeping in an oxygen tent in the hope of speeding up his recovering from a hairline leg fracture.
The England flanker has returned to light training but Mallinder is not confident he will be fit enough to play at the Millennium Stadium.
"We will see. He's now jogging around but whether it might be one week too early, we don't know," said Mallinder.
Northampton had their double bid wrecked on Saturday when they fell to an 11-3 defeat to Leicester in the Premiership semi-finals.
Mallinder's job now is to ensure his squad bury that disappointment and re-focus on Europe's biggest club prize.
Northampton have not won the Heineken Cup since 2000, when they beat Munster. On Saturday they will face Brian O'Driscoll's Leinster, who are chasing a European and Magners League double.
"Of course we wanted to win and get through to Twickenham," Mallinder said.
"Now, it is very simple - it's about one game of rugby, and we don't want to have played all this good rugby this season and come out of it with nothing."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
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Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
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The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
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The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.