Yes he is. Naruto speed is underestimated a lot of times because his fighting style doesn't revolve around him trying to blitz his opponent all the time. There are manga facts to support my claim.
Base Sasuke and Lee's speed in part 1 were equal or nearly equal. This is important.
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Base Naruto and Sasuke's speed during the VoTE battle were equal or nearly equal.
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Sasuke needed to use the CM to increase speed and a diversion to get a clean hit on Naruto.
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From the facts I have presented it can be determined that VoTE base Naruto's speed was equal or nearly equal to Lee's speed. Since Naruto's speed increased over the time skip and throughout part 2 it can be concluded that his base speed has surpassed part 1 Lee's speed.
For the people who don't believe me let's look at more facts.
Naruto quickly reacting, creating a clone, and blocking Chiyo attack.
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A tired Naruto evading Orochimaru hidden snake hand jutsu.
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Naruto saving Sakura and showing faster speed feats than Sai during that clash with the cloud ninjas.
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to
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Naruto saving Sakura from Sasuke before Kakashi could.
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Naruto and Sasuke's speed were equal in their clash.
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Like I said base Naruto is faster than part 1 Lee.