I've read lot of interesting answers and arguments ; I'll take some time to answer but I honestly think Sasuke would take this guys. I might be underrating Jiraiya.
the range of his sword thus making the extra 'little' range frog kata grants void. Doesn't take a genius to understand how that inhibits frog kata when Jiraiya can't even close the distance.
That would require Sasuke to blitz, which isn't happening here. I know you're referring to the situation where Sasuke almost killed Suigetsu and Juugo. Key differences? Jiraiya won't have his back turned like those two did, and he's much quicker, experienced, and more skilled than those two.
Fire Release: Great Dragon Fire Technique (火遁・豪龍火の術, Katon: Gouryuuka no Jutsu)
Ninjutsu, B-rank, Offensive, Supplementary, All ranges
User: Uchiha Sasuke
An ascending dragon of flames, consuming the enemy with sharp fangs burning brightly!!
Compressing a great amount of chakra build up inside the body and changing its shape into that of a blazing dragon. Then skilfully manipulating that great fire, one attacks the enemy before one's eyes! If this technique is mastered, it is also possible to fire off several flames after each other. Even outside of the attack range, its power and reliability are stressed. The flames have such a high temperature, they can create updraughts which in turn give rise to cumulonimbus clouds¹! The fate of the person caught in the dragon flame's sharp fangs is to be reduced to ashes in an instant...!!
The dragon's roar that even burns the Heavens!!
[picture of Sasuke using the Great Dragon Fire Technique]
[picture of Itachi barely evading the Great Dragon Fire Technique]
↑→The released flames are shaped into the form of a dragon and rush down on the target! The pursuit won't stop until the helpless target is consumed by flames!
¹ Cumulonimbus clouds are large, dark-grey rain clouds involved in thunderstorms and other intense weather.
Proof that Amateratsu isn't required, but rather only a few Katon dragons (to create a somewhat smaller Kirin, but still Kirin).