DAC? Does it make a big difference?

I just purchased a Linn Mimik II CD player and it sounds great. I hope someone can help. If I purchase a Linn Numerik DAC will it make the music sound that much better and if yes, how far up the Linn chain would it make the Mimik II compared to a better Linn without the DAC? Thanks to all! DAC for about $650.00