Nielsen has been offered a new contract at Stamford Bridge, but is keen on a move to the Scottish champions.
“Morten’s first choice is Celtic,” Morten’s agent and father Benny Nielsen told the Scottish Sun.”The people were nice to him and the stadium is beautiful.
“I was with Morten last week at Celtic. We had talks and we hope to have more this week.
“Other clubs are interested in Morten, but he has told me he wants to sign for Celtic.
“Chelsea have offered a three-year contract, but he doesn’t want to sign it. Young players never get into the first team there and he wants to take the next step and train and play with a first team.
“His Chelsea contract is over on 1st July and, hopefully, we can speak more with Celtic.”