Brendan Rodgers reveals best player he ever coached
Solanke has failed to agree a new deal with Chelsea and looks set to leave in the summer.
The England under-21 international is yet to make a competitive appearance for the Blues but is a player of interest to clubs in England.
Express Sport understands Rodgers is keen on signing Solanke but the Celtic manager has shrugged off the speculation.
"Nothing much other than I know Dominic well," said Rodgers when asked about the Chelsea teenager.
"I took Dominic into Chelsea when he was eight years of age. I am delighted for him and the career he has had up until now as a young player, he is a fantastic talent.
"But no more than that. I only speak on him because I know the player back then.
GETTY
Celtic striker Dominic Solanke
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"It is unfortunate that he is maybe not going to renew his contract at Chelsea because it is a great club, but he maybe deems that his future lies elsewhere.
"But apart from that, nothing else to add.
"So I can see where there is a connection with him and I, but nothing more than that."