Dante in Eliot?

I've been reading a bit of T.S. Eliot recently--most specifically The Wasteland, Ash Wednesday, and the Four Quartets. I keep seeing references to Dante--so many references, in fact, that I'm not sure they're all really there. Is it possible to read too much Dante into Eliot? Am I seeing Dante in Eliot because he's really there, or because I just took an intense Dante class?