“Fans love him, he’s at home,” Lennon said of Cummings, who has scored 50 goals for Hibs.
“I don’t think he’s ready to go to England just yet.
“We got a great offer from Peterborough but we were in a really good position to say, ‘thanks, but no thanks’.”
‘If we are favourites then so be it’
Hibs have won their opening two Scottish Championship fixtures as they bid to return to the top flight following relegation in 2014.
“It’s a pretty competitive league,” said Lennon, who took over at Hibs in June. “If we are favourites then so be it, we’ll embrace it. The players have to get used to having that tag. I don’t think they’ve had that before for a long time.
“You’d like to think Dundee United would be there or thereabouts, even though they haven’t got off to the best of starts.
“Queen of the South have put a bit of money into it, Raith Rovers have started well and Falkirk so I’d imagine those teams would be there or thereabouts.
“What I’m hoping is we find a consistent streak early and try and open up a gap and put pressure on the rest that are chasing us.”
Hibs ‘a really good fit’
Hibs are the third team Lennon has managed following spells in charge of Celtic and Bolton Wanderers.
And he said: “It feels just a really good fit. It’s a big club, big city club. I like that about it. People in the background are excellent people to work with.