The 17-year-old striker, who signed his first professional contract last month, made his first-team debut against Maribor in the Champions League last week.
Solanke hopes that he can forge a successful career at Stamford Bridge under Mourinho.
"It's great that he has faith in me, at my age," Solanke told the London Evening Standard.
"It shows that there is an opportunity there and working with him will only improve me. It is amazing to have a world class coach like Mourinho giving me advice. He has done so much in his career already.
"In football you must work hard. if you put the talent with the hard work, then anyone can fulfill their dreams."