23-year-old Anyinsah has already spent three months on loan in League One with high flying Carlisle United earlier on in the season making 12 appearances and netting three times.
Bristol born Anyinsah started his career as a trainee with Bristol City and was loaned to Hereford in early 2005. He then signed for Preston in the summer of 2005 only making sub appearances for the Lillywhites. He has also had a loan spell with Bury back in early 2006 where he made 3 appearances.
Although the loan is until the end of the season Preston have included an option to recall him after 28 days of his loan.
Preston manager Alan Irvine said of the move on the official Preston website: "I've agreed he can go to Crewe, which is a good opportunity for him because they're a good football team, and a team I'm happy to let a young football player go to. I think he'll be taught the right way there."