The 18-year-old is regarded as one of the best young players in Chelsea's youth academy, but has yet to break into the first team.
The centre-back moved to Stamford Bridge from Danish club Brondby in 2012 and has been progressing well while featuring for the youth side.
There have even been suggestions that the teenager could get his break on Sunday when Chelsea travel to Liverpool in the Premier League.
Manager Jose Mourinho has hinted that he could field a second-string team at Anfield to rest his key players for the UEFA Champions League semi-final second-leg tie against Atletico Madrid next week.
However, Christensen's father wants to see his son earn regular chances in the first team next season and has hinted that the youngster would be prepared to leave if he is not assured of opportunities.
"We are forced to think about Andreas' future and progress," Sten Christensen told BT. "From our point of view, something needs to happen after the summer.
"Whether it is in the first-team squad or something different, we have to consider. He should not spend one or two years where he stagnates. Andreas will not go on loan.
"He has been at Chelsea for two years, but needs to be there for three consecutive years to be what they call 'home-grown'. Chelsea will not let him go.
"I have talked to his coach Dermot Drummy, who said that Andreas is ready for the next step.
"He would like to keep Andreas, but as he said, for Andreas to progress, he needs to take a step forward.
"Therefore, I need to have a meeting with Chelsea. In case they don't want to offload him, then they have got to do something to give him a challenge all the time.
"It's a matter of his future progress as a footballer."