Former Celtic manager Lennon was named as Alan Stubbs's replacement at Easter Road last week, after the latter left to join English side Rotherham United.
Stubbs's final game in charge was the 3-2 Scottish Cup final win over Rangers, with Hibernian fans flooding the pitch at full time in a pitch invasion which reportedly resulted in some of Mark Warburton's men being physically assaulted by supporters.
They were ridiculous scenes frankly and, with Rangers now being a Scottish Premiership club following their promotion this past season, Smith says that Lennon should be relieved.
There were four Championship games between both sides this past season, and the 61-year-old, who spent three years at Ibrox until 1980, is glad that Scottish football will be spared further chaos next season.
"I would argue that from a personal, as a well as professional, point of view, it is Neil’s good fortune Rangers will not be in the division in the coming campaign," he told The Sunday Post.
After the shameful scenes witnessed at the end of the Scottish Cup Final, feelings would be running very high indeed if the two clubs were to meet in the near future."
Of course, there is another reason why Lennon will be delighted not to be sharing a division with Rangers - it would significantly decrease the 44-year-old's hopes of leading Hibs back into the big time next term.