Alright, down to business.
Jiraiya's speed is impressive all right, but Naruto's Sage Mode is not only complete/perfect, he absolutely obliterated Asura Path with a single blow ( not to mention blitzed it ), whereas Jiraiya's attacks were blocked.
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In addition, Naruto, via his superior Sage Mode, has gained extraordinary sensor abilities, clearly shown by how he was able to tell that Kakashi was not in the village. ( or well, dead )
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Thus, Jiraiya managing to take Naruto by surprise via taijutsu or close range battle is almost impossible.
Naruto's strength in Sage Mode has also reached colossal values, seeing as how he was able to pick up Pain's Rhino and throw it dozens of meters into the air.
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To further prove that Naruto is superior in close combat, he doesn't even have to hit Jiraiya. Even if somehow he would not be able to defeat Jiraiya in regular close quarters combat, Naruto has access to Frog Kata, which gives him a clear edge.
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These points were brought with the purpose of showing that Naruto has superiority in close combat. That means Jiraiya will be forced into long range mode, losing access to techniques like Chou Odama Rasengan.
Ah, but I am inclined to disagree. Jiraiya knows -nothing- about Sage Mode Naruto. He never saw him fighting. He cannot know Naruto mastered Sage Mode, he cannot know about Rasenshuriken - nor would he expect Naruto to be able to -throw- it - since not even Fukasaku knew of it.
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Furthermore, not only does Jiraiya -not- know that FRS expands into a big area of effect jutsu, the chances of him dodging are extremely small. Pain's paths barely managed to, but what you have to keep in mind is that our starting distance is 20 meters, whereas Naruto v Pain's distance was greater. I mean, FRS even has a wider radius than 20.
Jiraiya will never expect Naruto to have mastered sage mode. Using his toad summons, Naruto can easily gain the visual advantage by blocking Jiraiya's vision with
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This can only work in his favor, since Naruto doesn't need vision to attack somebody. The great thing about your opponent being blind and 1v1 scenarios is that you don't really have to be careful about what happens to you. Having no knowledge of FRS, Jiraiya would never expect a SM naruto to snipe him with a Rasenshuriken while they are engulfed by smoke.
Naruto has also shown the ability to perform a double Rasengan in Sage Mode without any help from clones, giving him an unexpected speed bonus in close quarters, which, again, Jiraiya would never expect.
It is precisely because Jman was his master that he would never expect Naruto to use all of these new techniques.
Albeit Jiraya's needles may be a tad sharper, let's not forget that SM Naruto destroyed a chakra blade with just his fist. If Pain's weapon did not manage to scratch SM Naruto, I very much doubt smaller, thinner blades can.
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Assuming Naruto gets caught ( which I honestly doubt he will, but still ), I can think of a few modes to get out.
1. Gamabunta and the other frogs can use a large scale Suiton to cancel the swamp's quicksand effect. Water should be able to help Naruto escape.
2. The Toad Sages can stay on a frog of their own and use reverse summoning to summon Naruto out of the swamp.
I have a few other things prepared, but I will wait for your reply for now.