Hurme robbed Sakic twice in the third period, ruining the Colorado captain's return to the lineup. The former Hart Trophy winner had missed nine games with a sprained ankle.
Roberto Luongo's backup, Hurme also took a goal away from Peter Forsberg in the third period en route to his second win in his last 10 starts (2-3-5). He started for just the third time in Florida's last 15 games.
Viktor Kozlov scored twice for the Panthers, who built a 3-0 lead after 15:06 and posted their second win in as many days. They have won two in a row only three times this season.
Forsberg scored 6:54 into the third period for the Avalanche, who had won two straight games by a combined score of 13-4. They fell to 5-2
With Patrick Roy battling the flu, David Aebischer made only 13 saves for Colorado.